Rocq Standard Library

Global Index

(22828 entries)

Notation Index

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(729 entries)

Module Index

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(767 entries)

Variable Index

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(1469 entries)

Library Index

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(563 entries)

Lemma Index

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(11435 entries)

Constructor Index

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(526 entries)

Axiom Index

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(359 entries)

Inductive Index

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(209 entries)

Projection Index

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(403 entries)

Section Index

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(394 entries)

Instance Index

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(790 entries)

Abbreviation Index

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(1196 entries)

Definition Index

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(3884 entries)

Record Index

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(104 entries)

A

A [constructor, in Stdlib.micromega.Tauto]
abs [definition, in Stdlib.Numbers.Cyclic.Int63.Sint63]
AbsList [definition, in Stdlib.Reals.RList]
AbsList_P2 [lemma, in Stdlib.Reals.RList]
AbsList_P1 [lemma, in Stdlib.Reals.RList]
absoption_orb [abbreviation, in Stdlib.Bool.Bool]
absoption_andb [abbreviation, in Stdlib.Bool.Bool]
absorption_orb [lemma, in Stdlib.Bool.Bool]
absorption_andb [lemma, in Stdlib.Bool.Bool]
Abstract [constructor, in Stdlib.setoid_ring.Ring_theory]
abst_form_correct [lemma, in Stdlib.micromega.Tauto]
abst_eq_correct [lemma, in Stdlib.micromega.Tauto]
abst_iff_correct [lemma, in Stdlib.micromega.Tauto]
abst_simpl_correct [lemma, in Stdlib.micromega.Tauto]
abst_form [definition, in Stdlib.micromega.Tauto]
abst_eq [definition, in Stdlib.micromega.Tauto]
abst_iff [definition, in Stdlib.micromega.Tauto]
abst_impl [definition, in Stdlib.micromega.Tauto]
abst_or [definition, in Stdlib.micromega.Tauto]
abst_and [definition, in Stdlib.micromega.Tauto]
abst_simpl [definition, in Stdlib.micromega.Tauto]
absurd_eq_true [lemma, in Stdlib.Bool.Bool]
absurd_eq_bool [lemma, in Stdlib.Bool.Bool]
absurd_PCond_bottom [lemma, in Stdlib.setoid_ring.Field_theory]
absurd_PCond [definition, in Stdlib.setoid_ring.Field_theory]
abs_of_Z [lemma, in Stdlib.Numbers.Cyclic.Int63.Sint63]
abs_min_int [lemma, in Stdlib.Numbers.Cyclic.Int63.Sint63]
abs_spec [lemma, in Stdlib.Numbers.Cyclic.Int63.Sint63]
abs_IZR [lemma, in Stdlib.Reals.Rbasic_fun]
abs_norm [lemma, in Stdlib.Numbers.HexadecimalFacts]
abs_app_int [lemma, in Stdlib.Numbers.HexadecimalFacts]
abs_norm [lemma, in Stdlib.Numbers.DecimalFacts]
abs_app_int [lemma, in Stdlib.Numbers.DecimalFacts]
abs_or_pol [lemma, in Stdlib.micromega.Tauto]
abs_and_pol [lemma, in Stdlib.micromega.Tauto]
abs_iff [definition, in Stdlib.micromega.Tauto]
abs_not [definition, in Stdlib.micromega.Tauto]
abs_or [definition, in Stdlib.micromega.Tauto]
abs_and [definition, in Stdlib.micromega.Tauto]
Abs_sum_maj [lemma, in Stdlib.Reals.Abstract.ConstructiveSum]
AC [lemma, in Stdlib.Logic.Berardi]
acc [abbreviation, in Stdlib.Logic.ConstructiveEpsilon]
Acc_union [lemma, in Stdlib.Wellfounded.Union]
Acc_incl [lemma, in Stdlib.Wellfounded.Inclusion]
Acc_inv_trans [lemma, in Stdlib.Wellfounded.Transitive_Closure]
Acc_clos_trans [lemma, in Stdlib.Wellfounded.Transitive_Closure]
Acc_inverse_rel [lemma, in Stdlib.Wellfounded.Inverse_Image]
Acc_simulation [lemma, in Stdlib.Wellfounded.Inverse_Image]
Acc_inverse_image [lemma, in Stdlib.Wellfounded.Inverse_Image]
Acc_lemma [lemma, in Stdlib.Wellfounded.Inverse_Image]
acc_B_sum [lemma, in Stdlib.Wellfounded.Disjoint_Union]
acc_A_sum [lemma, in Stdlib.Wellfounded.Disjoint_Union]
acc_implies_P_eventually [lemma, in Stdlib.Logic.ConstructiveEpsilon]
Acc_intro_generator_function [definition, in Stdlib.funind.Recdef]
Acc_swapprod [lemma, in Stdlib.Wellfounded.Lexicographic_Product]
Acc_symprod [lemma, in Stdlib.Wellfounded.Lexicographic_Product]
acc_A_B_lexprod [lemma, in Stdlib.Wellfounded.Lexicographic_Product]
Acc_list_ext [lemma, in Stdlib.Wellfounded.List_Extension]
Acc_list_ext_app [lemma, in Stdlib.Wellfounded.List_Extension]
acc_lt_rel [lemma, in Stdlib.Arith.Wf_nat]
acc_app [lemma, in Stdlib.Wellfounded.Lexicographic_Exponentiation]
acos [definition, in Stdlib.Reals.Ratan]
acos_cos [lemma, in Stdlib.Reals.Ratan]
acos_bound_lt [lemma, in Stdlib.Reals.Ratan]
acos_bound [lemma, in Stdlib.Reals.Ratan]
acos_inv_sqrt2 [lemma, in Stdlib.Reals.Ratan]
acos_opp [lemma, in Stdlib.Reals.Ratan]
acos_1 [lemma, in Stdlib.Reals.Ratan]
acos_0 [lemma, in Stdlib.Reals.Ratan]
acos_asin [lemma, in Stdlib.Reals.Ratan]
acos_atan [lemma, in Stdlib.Reals.Ratan]
action [definition, in Stdlib.Logic.ExtensionalityFacts]
AC_bool_subset_to_bool [lemma, in Stdlib.Logic.Diaconescu]
AC_IF [lemma, in Stdlib.Logic.Berardi]
adapted_couple_opt [definition, in Stdlib.Reals.RiemannInt_SF]
adapted_couple [definition, in Stdlib.Reals.RiemannInt_SF]
adapt_ok [definition, in Stdlib.Sorting.Permutation]
adapt_injective [definition, in Stdlib.Sorting.Permutation]
Add [definition, in Stdlib.Sets.Ensembles]
Add [inductive, in Stdlib.Lists.List]
Add [section, in Stdlib.Lists.List]
Add [abbreviation, in Stdlib.micromega.Ztac]
add [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addc [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addcarry [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addcarryc [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addcarryc_spec [lemma, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addcarryc_def_spec [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addcarry_spec [lemma, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addc_spec [lemma, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addc_def_spec [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addition [projection, in Stdlib.setoid_ring.Algebra_syntax]
Addition [record, in Stdlib.setoid_ring.Algebra_syntax]
addition [constructor, in Stdlib.setoid_ring.Algebra_syntax]
Addition [inductive, in Stdlib.setoid_ring.Algebra_syntax]
addmuldiv [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addmuldiv_spec [lemma, in Stdlib.Numbers.Cyclic.Int63.Uint63]
addmuldiv_def_spec [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Uint63]
AddRing [section, in Stdlib.setoid_ring.Ring_theory]
AddSubMul [module, in Stdlib.Numbers.NatInt.NZAxioms]
AddSubMulNotation [module, in Stdlib.Numbers.NatInt.NZAxioms]
_ * _ [notation, in Stdlib.Numbers.NatInt.NZAxioms]
_ - _ [notation, in Stdlib.Numbers.NatInt.NZAxioms]
_ + _ [notation, in Stdlib.Numbers.NatInt.NZAxioms]
AddSubMul' [module, in Stdlib.Numbers.NatInt.NZAxioms]
AddSubMul.add [axiom, in Stdlib.Numbers.NatInt.NZAxioms]
AddSubMul.mul [axiom, in Stdlib.Numbers.NatInt.NZAxioms]
AddSubMul.sub [axiom, in Stdlib.Numbers.NatInt.NZAxioms]
Add_preserves_Finite [lemma, in Stdlib.Sets.Finite_sets_facts]
add_notation [instance, in Stdlib.setoid_ring.Ncring]
Add_inv [lemma, in Stdlib.Lists.List]
Add_length [lemma, in Stdlib.Lists.List]
Add_in [lemma, in Stdlib.Lists.List]
Add_split [lemma, in Stdlib.Lists.List]
Add_app [lemma, in Stdlib.Lists.List]
Add_sind [definition, in Stdlib.Lists.List]
Add_ind [definition, in Stdlib.Lists.List]
Add_cons [constructor, in Stdlib.Lists.List]
Add_head [constructor, in Stdlib.Lists.List]
Add_distributes [lemma, in Stdlib.Sets.Powerset_facts]
Add_commutative' [lemma, in Stdlib.Sets.Powerset_facts]
Add_commutative [lemma, in Stdlib.Sets.Powerset_facts]
add_of_Z [lemma, in Stdlib.Numbers.Cyclic.Int63.Sint63]
add_spec [lemma, in Stdlib.Numbers.Cyclic.Int63.Sint63]
add_inj_r [lemma, in Stdlib.setoid_ring.Field_theory]
Add_covers [lemma, in Stdlib.Sets.Powerset_Classical_facts]
add_soustr_xy [lemma, in Stdlib.Sets.Powerset_Classical_facts]
add_soustr_1 [lemma, in Stdlib.Sets.Powerset_Classical_facts]
add_soustr_2 [lemma, in Stdlib.Sets.Powerset_Classical_facts]
add_term_correct [lemma, in Stdlib.micromega.Tauto]
add_term [definition, in Stdlib.micromega.Tauto]
Add_inv [lemma, in Stdlib.Sets.Constructive_sets]
Add_not_Empty [lemma, in Stdlib.Sets.Constructive_sets]
Add_intro2 [lemma, in Stdlib.Sets.Constructive_sets]
Add_intro1 [lemma, in Stdlib.Sets.Constructive_sets]
add_mult_dev_ok [lemma, in Stdlib.setoid_ring.Ring_polynom]
add_pow_list_ok [lemma, in Stdlib.setoid_ring.Ring_polynom]
add_mult_dev [definition, in Stdlib.setoid_ring.Ring_polynom]
add_pow_list [definition, in Stdlib.setoid_ring.Ring_polynom]
add_le [lemma, in Stdlib.micromega.Ztac]
Add_deprecated [constructor, in Stdlib.micromega.Ztac]
add_cancel_r [lemma, in Stdlib.Numbers.Cyclic.Int63.Uint63]
add_cancel_l [lemma, in Stdlib.Numbers.Cyclic.Int63.Uint63]
add_le_r [lemma, in Stdlib.Numbers.Cyclic.Int63.Uint63]
add_comm [lemma, in Stdlib.Numbers.Cyclic.Int63.Uint63]
add_assoc [lemma, in Stdlib.Numbers.Cyclic.Int63.Uint63]
add_spec [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Uint63]
Add.A [variable, in Stdlib.Lists.List]
adhDa [definition, in Stdlib.Reals.Rlimit]
adherence [definition, in Stdlib.Reals.Rtopology]
adherence_P4 [lemma, in Stdlib.Reals.Rtopology]
adherence_P3 [lemma, in Stdlib.Reals.Rtopology]
adherence_P2 [lemma, in Stdlib.Reals.Rtopology]
adherence_P1 [lemma, in Stdlib.Reals.Rtopology]
Adjointification [library]
adjointify [section, in Stdlib.Logic.Adjointification]
adjointify.A [variable, in Stdlib.Logic.Adjointification]
adjointify.B [variable, in Stdlib.Logic.Adjointification]
adjointify.correction [section, in Stdlib.Logic.Adjointification]
adjointify.correction.fg_id [variable, in Stdlib.Logic.Adjointification]
adjointify.correction.gf_id [variable, in Stdlib.Logic.Adjointification]
adjointify.f [variable, in Stdlib.Logic.Adjointification]
adjointify.g [variable, in Stdlib.Logic.Adjointification]
adjointify.g_adjoint.fg_id [variable, in Stdlib.Logic.Adjointification]
adjointify.g_adjoint.gf_id [variable, in Stdlib.Logic.Adjointification]
adjointify.g_adjoint [section, in Stdlib.Logic.Adjointification]
AdmitAxiom [library]
AFdiv_def [projection, in Stdlib.setoid_ring.Field_theory]
AFinv_l [projection, in Stdlib.setoid_ring.Field_theory]
aformula [definition, in Stdlib.micromega.Tauto]
AF_1_neq_0 [projection, in Stdlib.setoid_ring.Field_theory]
AF_AR [projection, in Stdlib.setoid_ring.Field_theory]
agree_env_eval_nformulae [lemma, in Stdlib.micromega.ZMicromega]
agree_env_eval_nformula [lemma, in Stdlib.micromega.ZMicromega]
agree_env_tail [lemma, in Stdlib.micromega.ZMicromega]
agree_env_jump [lemma, in Stdlib.micromega.ZMicromega]
agree_env_subset [lemma, in Stdlib.micromega.ZMicromega]
agree_env [definition, in Stdlib.micromega.ZMicromega]
Alembert [library]
AlembertC3_step2 [lemma, in Stdlib.Reals.Alembert]
AlembertC3_step1 [lemma, in Stdlib.Reals.Alembert]
Alembert_C6 [lemma, in Stdlib.Reals.Alembert]
Alembert_C5 [lemma, in Stdlib.Reals.Alembert]
Alembert_C4 [lemma, in Stdlib.Reals.Alembert]
Alembert_C3 [lemma, in Stdlib.Reals.Alembert]
Alembert_C2 [lemma, in Stdlib.Reals.Alembert]
Alembert_C2_aux_Un_cv [lemma, in Stdlib.Reals.Alembert]
Alembert_C2_aux_positivity [lemma, in Stdlib.Reals.Alembert]
Alembert_C1 [lemma, in Stdlib.Reals.Alembert]
Alembert_exp [lemma, in Stdlib.Reals.Rtrigo_fun]
Alembert_sin [lemma, in Stdlib.Reals.Rtrigo_def]
Alembert_cos [lemma, in Stdlib.Reals.Rtrigo_def]
Algebra [section, in Stdlib.btauto.Algebra]
Algebra [library]
Algebra_syntax [library]
All [library]
AllS [abbreviation, in Stdlib.Lists.List]
all_not_not_ex [lemma, in Stdlib.Logic.Classical_Pred_Type]
almost_field_theory [record, in Stdlib.setoid_ring.Field_theory]
ALMOST_RING.ARth [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.phi_ext [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.Smorph [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.Cth [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.Ceqe [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.Csth [variable, in Stdlib.setoid_ring.Ring_theory]
[ _ ] [notation, in Stdlib.setoid_ring.Ring_theory]
?=! [notation, in Stdlib.setoid_ring.Ring_theory]
-! _ [notation, in Stdlib.setoid_ring.Ring_theory]
_ -! _ [notation, in Stdlib.setoid_ring.Ring_theory]
_ *! _ [notation, in Stdlib.setoid_ring.Ring_theory]
_ +! _ [notation, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.phi [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.ceqb [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.ceq [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.copp [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.csub [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.cmul [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.cadd [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.cI [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.cO [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.C [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING.Rth [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.RING [section, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.Reqe [variable, in Stdlib.setoid_ring.Ring_theory]
- _ [notation, in Stdlib.setoid_ring.Ring_theory]
_ - _ [notation, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.Smorph [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.phi [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.ceqb [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.cmul [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.cadd [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.cI [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.cO [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.C [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.morph_req [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.reqb [variable, in Stdlib.setoid_ring.Ring_theory]
_ - _ [notation, in Stdlib.setoid_ring.Ring_theory]
- _ [notation, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.SRth [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING.SReqe [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.SEMI_RING [section, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.Rsth [variable, in Stdlib.setoid_ring.Ring_theory]
_ * _ [notation, in Stdlib.setoid_ring.Ring_theory]
_ + _ [notation, in Stdlib.setoid_ring.Ring_theory]
_ == _ [notation, in Stdlib.setoid_ring.Ring_theory]
1 [notation, in Stdlib.setoid_ring.Ring_theory]
0 [notation, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.req [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.ropp [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.rsub [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.rmul [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.radd [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.rI [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.rO [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING.R [variable, in Stdlib.setoid_ring.Ring_theory]
ALMOST_RING [section, in Stdlib.setoid_ring.Ring_theory]
almost_ring_theory [record, in Stdlib.setoid_ring.Ring_theory]
AltBinNotations [library]
alternated_series_ineq [lemma, in Stdlib.Reals.AltSeries]
alternated_series [lemma, in Stdlib.Reals.AltSeries]
AltSeries [library]
Alt_PI_eq [lemma, in Stdlib.Reals.Ratan]
Alt_PI_tg [lemma, in Stdlib.Reals.Ratan]
Alt_CVU [lemma, in Stdlib.Reals.Ratan]
Alt_first_term_bound [lemma, in Stdlib.Reals.Ratan]
Alt_PI_RGT_0 [lemma, in Stdlib.Reals.AltSeries]
Alt_PI_ineq [lemma, in Stdlib.Reals.AltSeries]
Alt_PI [definition, in Stdlib.Reals.AltSeries]
AND [constructor, in Stdlib.micromega.Tauto]
andb_lazy_alt [lemma, in Stdlib.Bool.Bool]
andb_if [lemma, in Stdlib.Bool.Bool]
andb_prop2 [abbreviation, in Stdlib.Bool.Bool]
andb_prop_elim [lemma, in Stdlib.Bool.Bool]
andb_true_intro2 [abbreviation, in Stdlib.Bool.Bool]
andb_prop_intro [lemma, in Stdlib.Bool.Bool]
andb_orb_distrib_l [lemma, in Stdlib.Bool.Bool]
andb_orb_distrib_r [lemma, in Stdlib.Bool.Bool]
andb_assoc [lemma, in Stdlib.Bool.Bool]
andb_comm [lemma, in Stdlib.Bool.Bool]
andb_neg_b [abbreviation, in Stdlib.Bool.Bool]
andb_negb_l [lemma, in Stdlib.Bool.Bool]
andb_negb_r [lemma, in Stdlib.Bool.Bool]
andb_false_elim [lemma, in Stdlib.Bool.Bool]
andb_true_b [abbreviation, in Stdlib.Bool.Bool]
andb_b_true [abbreviation, in Stdlib.Bool.Bool]
andb_true_l [lemma, in Stdlib.Bool.Bool]
andb_true_r [lemma, in Stdlib.Bool.Bool]
andb_diag [lemma, in Stdlib.Bool.Bool]
andb_false_b [abbreviation, in Stdlib.Bool.Bool]
andb_b_false [abbreviation, in Stdlib.Bool.Bool]
andb_false_l [lemma, in Stdlib.Bool.Bool]
andb_false_r [lemma, in Stdlib.Bool.Bool]
andb_false_intro2 [lemma, in Stdlib.Bool.Bool]
andb_false_intro1 [lemma, in Stdlib.Bool.Bool]
andb_true_eq [lemma, in Stdlib.Bool.Bool]
andb_false_iff [lemma, in Stdlib.Bool.Bool]
andb_true_iff [lemma, in Stdlib.Bool.Bool]
and_not_or [lemma, in Stdlib.Logic.Classical_Prop]
and_morph [lemma, in Stdlib.micromega.ZifyClasses]
and_cnf_opt_cnf_tt [lemma, in Stdlib.micromega.Tauto]
and_cnf_opt_cnf_ff [lemma, in Stdlib.micromega.Tauto]
and_cnf_opt_cnf_ff_r [lemma, in Stdlib.micromega.Tauto]
and_cnf_opt [definition, in Stdlib.micromega.Tauto]
and_cnf [definition, in Stdlib.micromega.Tauto]
and_indd [definition, in Stdlib.Logic.ChoiceFacts]
and_hprop [lemma, in Stdlib.Logic.HLevels]
annot_of_cnf [definition, in Stdlib.micromega.Tauto]
annot_of_clause [definition, in Stdlib.micromega.Tauto]
antiderivative [definition, in Stdlib.Reals.Ranalysis1]
antiderivative_Ucte [lemma, in Stdlib.Reals.MVT]
antiderivative_P4 [lemma, in Stdlib.Reals.NewtonInt]
antiderivative_P3 [lemma, in Stdlib.Reals.NewtonInt]
antiderivative_P2 [lemma, in Stdlib.Reals.NewtonInt]
antiderivative_P1 [lemma, in Stdlib.Reals.NewtonInt]
Antisymmetric [definition, in Stdlib.Sets.Relations_1]
app [abbreviation, in Stdlib.Lists.List]
append [definition, in Stdlib.Vectors.VectorDef]
append [definition, in Stdlib.FSets.FMapPositive]
append [definition, in Stdlib.Strings.String]
append_neutral_l [lemma, in Stdlib.FSets.FMapPositive]
append_neutral_r [lemma, in Stdlib.FSets.FMapPositive]
append_assoc_1 [lemma, in Stdlib.FSets.FMapPositive]
append_assoc_0 [lemma, in Stdlib.FSets.FMapPositive]
append_correct2 [lemma, in Stdlib.Strings.String]
append_correct1 [lemma, in Stdlib.Strings.String]
append_inj [lemma, in Stdlib.Vectors.VectorSpec]
append_splitat [lemma, in Stdlib.Vectors.VectorSpec]
append_comm_cons [lemma, in Stdlib.Vectors.VectorSpec]
append_const [lemma, in Stdlib.Vectors.VectorSpec]
approx [definition, in Stdlib.Logic.WeakFan]
Approx [section, in Stdlib.Sets.Infinite_sets]
Approximant [inductive, in Stdlib.Sets.Infinite_sets]
approximants_grow' [lemma, in Stdlib.Sets.Infinite_sets]
approximants_grow [lemma, in Stdlib.Sets.Infinite_sets]
approximant_can_be_any_size [lemma, in Stdlib.Sets.Infinite_sets]
Approximant_sind [definition, in Stdlib.Sets.Infinite_sets]
Approximant_rec [definition, in Stdlib.Sets.Infinite_sets]
Approximant_ind [definition, in Stdlib.Sets.Infinite_sets]
Approximant_rect [definition, in Stdlib.Sets.Infinite_sets]
approx_min [lemma, in Stdlib.Reals.SeqProp]
approx_maj [lemma, in Stdlib.Reals.SeqProp]
Approx.U [variable, in Stdlib.Sets.Infinite_sets]
AppVar [definition, in Stdlib.Reals.Ranalysis_reg]
app_length [abbreviation, in Stdlib.Lists.List]
app_assoc_reverse [abbreviation, in Stdlib.Lists.List]
app_nil_end [abbreviation, in Stdlib.Lists.List]
app_ass [abbreviation, in Stdlib.Lists.List]
app_removelast_last [lemma, in Stdlib.Lists.List]
app_nth2_plus [lemma, in Stdlib.Lists.List]
app_nth2 [lemma, in Stdlib.Lists.List]
app_nth1 [lemma, in Stdlib.Lists.List]
app_inj_pivot [lemma, in Stdlib.Lists.List]
app_inv_tail_iff [lemma, in Stdlib.Lists.List]
app_inv_tail [lemma, in Stdlib.Lists.List]
app_inv_head [lemma, in Stdlib.Lists.List]
app_inv_head_iff [lemma, in Stdlib.Lists.List]
app_inj_tail_iff [lemma, in Stdlib.Lists.List]
app_inj_tail [lemma, in Stdlib.Lists.List]
app_eq_app [lemma, in Stdlib.Lists.List]
app_eq_unit [lemma, in Stdlib.Lists.List]
app_eq_cons [lemma, in Stdlib.Lists.List]
app_eq_nil [lemma, in Stdlib.Lists.List]
app_comm_cons [lemma, in Stdlib.Lists.List]
app_assoc_reverse_deprecated [lemma, in Stdlib.Lists.List]
app_assoc [lemma, in Stdlib.Lists.List]
app_nil_end_deprecated [lemma, in Stdlib.Lists.List]
app_nil_r [lemma, in Stdlib.Lists.List]
app_nil_l [lemma, in Stdlib.Lists.List]
app_cons_not_nil [lemma, in Stdlib.Lists.List]
app_int_del_tail_head [lemma, in Stdlib.Numbers.HexadecimalFacts]
app_del_tail_head [lemma, in Stdlib.Numbers.HexadecimalFacts]
app_int_nil_r [lemma, in Stdlib.Numbers.HexadecimalFacts]
app_nil_r [lemma, in Stdlib.Numbers.HexadecimalFacts]
app_nil_l [lemma, in Stdlib.Numbers.HexadecimalFacts]
app_spec [lemma, in Stdlib.Numbers.HexadecimalFacts]
app_int_del_tail_head [lemma, in Stdlib.Numbers.DecimalFacts]
app_del_tail_head [lemma, in Stdlib.Numbers.DecimalFacts]
app_int_nil_r [lemma, in Stdlib.Numbers.DecimalFacts]
app_nil_r [lemma, in Stdlib.Numbers.DecimalFacts]
app_nil_l [lemma, in Stdlib.Numbers.DecimalFacts]
app_spec [lemma, in Stdlib.Numbers.DecimalFacts]
app_eqlistA_compat [instance, in Stdlib.Lists.SetoidList]
ARadd_assoc2 [lemma, in Stdlib.setoid_ring.Ring_theory]
ARadd_assoc1 [lemma, in Stdlib.setoid_ring.Ring_theory]
ARadd_0_r [lemma, in Stdlib.setoid_ring.Ring_theory]
ARadd_assoc [projection, in Stdlib.setoid_ring.Ring_theory]
ARadd_comm [projection, in Stdlib.setoid_ring.Ring_theory]
ARadd_0_l [projection, in Stdlib.setoid_ring.Ring_theory]
archimed [lemma, in Stdlib.Reals.Raxioms]
archimed_cor1 [lemma, in Stdlib.Reals.Rtrigo_def]
arcsinh [definition, in Stdlib.Reals.Rpower]
arcsinh_0 [lemma, in Stdlib.Reals.Rpower]
arcsinh_le [lemma, in Stdlib.Reals.Rpower]
arcsinh_lt [lemma, in Stdlib.Reals.Rpower]
arcsinh_sinh [lemma, in Stdlib.Reals.Rpower]
ARdistr_r [lemma, in Stdlib.setoid_ring.Ring_theory]
ARdistr_l [projection, in Stdlib.setoid_ring.Ring_theory]
ARgen_phiPOS_mult [lemma, in Stdlib.setoid_ring.Ncring_initial]
ARgen_phiPOS_add [lemma, in Stdlib.setoid_ring.Ncring_initial]
ARgen_phiPOS_Psucc [lemma, in Stdlib.setoid_ring.Ncring_initial]
ARgen_phiPOS_mult [lemma, in Stdlib.setoid_ring.InitialRing]
ARgen_phiPOS_add [lemma, in Stdlib.setoid_ring.InitialRing]
ARgen_phiPOS_Psucc [lemma, in Stdlib.setoid_ring.InitialRing]
Arith [library]
Arithmetical_dec.HP [variable, in Stdlib.Reals.Rlogic]
Arithmetical_dec.P [variable, in Stdlib.Reals.Rlogic]
Arithmetical_dec [section, in Stdlib.Reals.Rlogic]
ArithProp [library]
ArithRing [library]
Arith_base [library]
ARmul_assoc2 [lemma, in Stdlib.setoid_ring.Ring_theory]
ARmul_assoc1 [lemma, in Stdlib.setoid_ring.Ring_theory]
ARmul_0_r [lemma, in Stdlib.setoid_ring.Ring_theory]
ARmul_1_r [lemma, in Stdlib.setoid_ring.Ring_theory]
ARmul_assoc [projection, in Stdlib.setoid_ring.Ring_theory]
ARmul_comm [projection, in Stdlib.setoid_ring.Ring_theory]
ARmul_0_l [projection, in Stdlib.setoid_ring.Ring_theory]
ARmul_1_l [projection, in Stdlib.setoid_ring.Ring_theory]
ARopp_zero [lemma, in Stdlib.setoid_ring.Ring_theory]
ARopp_mul_r [lemma, in Stdlib.setoid_ring.Ring_theory]
ARopp_add [projection, in Stdlib.setoid_ring.Ring_theory]
ARopp_mul_l [projection, in Stdlib.setoid_ring.Ring_theory]
array [abbreviation, in Stdlib.Array.PArray]
ArrayAxioms [library]
array_ext [abbreviation, in Stdlib.Array.PArray]
Arrow [constructor, in Stdlib.rtauto.Rtauto]
ARsub_ext [instance, in Stdlib.setoid_ring.Ring_theory]
ARsub_def [projection, in Stdlib.setoid_ring.Ring_theory]
ARth_SRth [lemma, in Stdlib.setoid_ring.Ring_theory]
Ascii [constructor, in Stdlib.Strings.Ascii]
ascii [inductive, in Stdlib.Strings.Ascii]
Ascii [library]
AsciiSyntax [module, in Stdlib.Strings.Ascii]
ascii_of_byte_via_nat [lemma, in Stdlib.Strings.Ascii]
ascii_of_byte_via_N [lemma, in Stdlib.Strings.Ascii]
ascii_of_byte_of_ascii [lemma, in Stdlib.Strings.Ascii]
ascii_of_byte [definition, in Stdlib.Strings.Ascii]
ascii_nat_embedding [lemma, in Stdlib.Strings.Ascii]
ascii_N_embedding [lemma, in Stdlib.Strings.Ascii]
ascii_of_nat [definition, in Stdlib.Strings.Ascii]
ascii_of_N [definition, in Stdlib.Strings.Ascii]
ascii_of_pos [definition, in Stdlib.Strings.Ascii]
ascii_dec [definition, in Stdlib.Strings.Ascii]
ascii_sind [definition, in Stdlib.Strings.Ascii]
ascii_rec [definition, in Stdlib.Strings.Ascii]
ascii_ind [definition, in Stdlib.Strings.Ascii]
ascii_rect [definition, in Stdlib.Strings.Ascii]
ascii_to_digit [definition, in Stdlib.Strings.OctalString]
ascii_to_digit [definition, in Stdlib.Strings.BinaryString]
Ascii_as_OT.compare_spec [lemma, in Stdlib.Structures.OrdersEx]
Ascii_as_OT.lt_strorder [instance, in Stdlib.Structures.OrdersEx]
Ascii_as_OT.lt_compat [instance, in Stdlib.Structures.OrdersEx]
Ascii_as_OT.lt [definition, in Stdlib.Structures.OrdersEx]
Ascii_as_OT.compare [definition, in Stdlib.Structures.OrdersEx]
Ascii_as_OT.eqb_eq [definition, in Stdlib.Structures.OrdersEx]
Ascii_as_OT.eqb [definition, in Stdlib.Structures.OrdersEx]
Ascii_as_OT.t [definition, in Stdlib.Structures.OrdersEx]
Ascii_as_OT [module, in Stdlib.Structures.OrdersEx]
Ascii_as_OT.eq_dec [definition, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.compare [definition, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.compare_helper_gt [lemma, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.compare_helper_eq [lemma, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.lt_not_eq [lemma, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.lt_trans [lemma, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.lt [definition, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.cmp_antisym [lemma, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.cmp_lt_nat [lemma, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.cmp_eq [lemma, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.cmp [definition, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.eq_trans [definition, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.eq_sym [definition, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.eq_refl [definition, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.eq [definition, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT.t [definition, in Stdlib.Structures.OrderedTypeEx]
Ascii_as_OT [module, in Stdlib.Structures.OrderedTypeEx]
ascii_to_digit [definition, in Stdlib.Strings.HexString]
asin [definition, in Stdlib.Reals.Ratan]
asin_acos [lemma, in Stdlib.Reals.Ratan]
asin_sin [lemma, in Stdlib.Reals.Ratan]
asin_bound_lt [lemma, in Stdlib.Reals.Ratan]
asin_bound [lemma, in Stdlib.Reals.Ratan]
asin_opp [lemma, in Stdlib.Reals.Ratan]
asin_inv_sqrt2 [lemma, in Stdlib.Reals.Ratan]
asin_1 [lemma, in Stdlib.Reals.Ratan]
asin_0 [lemma, in Stdlib.Reals.Ratan]
asin_atan [lemma, in Stdlib.Reals.Ratan]
asr [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Sint63]
asr_1 [lemma, in Stdlib.Numbers.Cyclic.Int63.Sint63]
asr_neg_r [lemma, in Stdlib.Numbers.Cyclic.Int63.Sint63]
asr_0_r [lemma, in Stdlib.Numbers.Cyclic.Int63.Sint63]
asr_0 [lemma, in Stdlib.Numbers.Cyclic.Int63.Sint63]
asr_spec [abbreviation, in Stdlib.Numbers.Cyclic.Int63.Sint63]
ass_app [abbreviation, in Stdlib.Lists.List]
atan [definition, in Stdlib.Reals.Ratan]
atan_eq_ps_atan [lemma, in Stdlib.Reals.Ratan]
atan_inv [lemma, in Stdlib.Reals.Ratan]
atan_tan [lemma, in Stdlib.Reals.Ratan]
atan_1 [lemma, in Stdlib.Reals.Ratan]
atan_eq0 [lemma, in Stdlib.Reals.Ratan]
atan_0 [lemma, in Stdlib.Reals.Ratan]
atan_increasing [lemma, in Stdlib.Reals.Ratan]
atan_opp [lemma, in Stdlib.Reals.Ratan]
atan_right_inv [abbreviation, in Stdlib.Reals.Ratan]
atan_bound [lemma, in Stdlib.Reals.Ratan]
atan_sub_correct [lemma, in Stdlib.Reals.Machin]
atan_sub [definition, in Stdlib.Reals.Machin]
Atom [constructor, in Stdlib.rtauto.Rtauto]
aux [lemma, in Stdlib.Logic.ClassicalFacts]
auxiliary [library]
AvlProofs [module, in Stdlib.FSets.FMapFullAVL]
AvlProofs.add_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.add_avl_1 [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.avl [inductive, in Stdlib.FSets.FMapFullAVL]
AvlProofs.avl_node [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.avl_sind [definition, in Stdlib.FSets.FMapFullAVL]
AvlProofs.avl_ind [definition, in Stdlib.FSets.FMapFullAVL]
AvlProofs.bal_height_2 [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.bal_height_1 [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.bal_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.concat_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.create_height [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.create_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Elt [section, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Elt.elt [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.empty_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.height_0 [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.height_non_negative [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.II [module, in Stdlib.FSets.FMapFullAVL]
AvlProofs.join_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.join_avl_1 [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map [section, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Mapi [section, in Stdlib.FSets.FMapFullAVL]
AvlProofs.mapi_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.mapi_height [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Mapi.elt [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Mapi.elt' [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Mapi.f [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.map_option_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map_option.f [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map_option.elt' [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map_option.elt [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map_option [section, in Stdlib.FSets.FMapFullAVL]
AvlProofs.map_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.map_height [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map.elt [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map.elt' [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map.f [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2 [section, in Stdlib.FSets.FMapFullAVL]
AvlProofs.map2_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.map2_opt_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.map2_opt [abbreviation, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2_opt.mapr_avl [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2_opt.mapl_avl [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2_opt.mapr [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2_opt.mapl [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2_opt.f [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2_opt.elt'' [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2_opt.elt' [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2_opt.elt [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2_opt [section, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2.elt [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2.elt' [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2.elt'' [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Map2.f [variable, in Stdlib.FSets.FMapFullAVL]
AvlProofs.merge_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.merge_avl_1 [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.Raw [module, in Stdlib.FSets.FMapFullAVL]
AvlProofs.RBLeaf [constructor, in Stdlib.FSets.FMapFullAVL]
AvlProofs.RBNode [constructor, in Stdlib.FSets.FMapFullAVL]
AvlProofs.remove_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.remove_avl_1 [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.remove_min_avl [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.remove_min_avl_1 [lemma, in Stdlib.FSets.FMapFullAVL]
AvlProofs.split_avl [lemma, in Stdlib.FSets.FMapFullAVL]
Ax [constructor, in Stdlib.rtauto.Rtauto]
Axiomatisation [section, in Stdlib.Sets.Permut]
Axiomatisation.cong [variable, in Stdlib.Sets.Permut]
Axiomatisation.cong_sym [variable, in Stdlib.Sets.Permut]
Axiomatisation.cong_trans [variable, in Stdlib.Sets.Permut]
Axiomatisation.cong_right [variable, in Stdlib.Sets.Permut]
Axiomatisation.cong_left [variable, in Stdlib.Sets.Permut]
Axiomatisation.op [variable, in Stdlib.Sets.Permut]
Axiomatisation.op_ass [variable, in Stdlib.Sets.Permut]
Axiomatisation.op_comm [variable, in Stdlib.Sets.Permut]
Axiomatisation.U [variable, in Stdlib.Sets.Permut]
A' [definition, in Stdlib.Logic.Diaconescu]
A1 [definition, in Stdlib.Reals.Cos_rel]
A1_cvg [lemma, in Stdlib.Reals.Cos_rel]
a1' [definition, in Stdlib.Logic.Diaconescu]
a2' [definition, in Stdlib.Logic.Diaconescu]

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