Module ComInductive

Inductive and coinductive types
type uniform_inductive_flag =
| UniformParameters
| NonUniformParameters
val do_mutual_inductive : template:bool option -> Constrexpr.universe_decl_expr option -> (Vernacexpr.one_inductive_expr * Vernacexpr.decl_notation list) list -> cumulative:bool -> poly:bool -> private_ind:bool -> uniform:uniform_inductive_flag -> Declarations.recursivity_kind -> unit
val make_cases : Names.inductive -> string list list
val declare_mutual_inductive_with_eliminations : ?⁠primitive_expected:bool -> Entries.mutual_inductive_entry -> UnivNames.universe_binders -> DeclareInd.one_inductive_impls list -> Names.MutInd.t
val interp_mutual_inductive_constr : env0:Environ.env -> sigma:Evd.evar_map -> template:bool option -> udecl:UState.universe_decl -> env_ar:Environ.env -> env_params:Environ.env -> ctx_params:(EConstr.t, EConstr.t) Context.Rel.Declaration.pt list -> indnames:Names.Id.t list -> arities:EConstr.t list -> arityconcl:(bool * EConstr.ESorts.t) option list -> constructors:(Names.Id.t list * Constr.constr list * 'a list list) list -> env_ar_params:Environ.env -> cumulative:bool -> poly:bool -> private_ind:bool -> finite:Declarations.recursivity_kind -> Entries.mutual_inductive_entry * UnivNames.universe_binders
val should_auto_template : Names.Id.t -> bool -> bool

should_auto_template x b is true when b is true and we automatically use template polymorphism. x is the name of the inductive under consideration.

val template_polymorphism_candidate : Environ.env -> ctor_levels:Univ.LSet.t -> Entries.universes_entry -> Constr.rel_context -> Sorts.t option -> bool

template_polymorphism_candidate env ~ctor_levels uctx params conclsort is true iff an inductive with params params, conclusion conclsort and universe levels appearing in the constructor arguments ctor_levels would be definable as template polymorphic. It should have at least one universe in its monomorphic universe context that can be made parametric in its conclusion sort, if one is given. If the Template Check flag is false we just check that the conclusion sort is not small.