Module ComInductive

Inductive and coinductive types
type uniform_inductive_flag =
| UniformParameters
| NonUniformParameters
val do_mutual_inductive : template:bool option -> Constrexpr.cumul_univ_decl_expr option -> (Vernacexpr.one_inductive_expr * Vernacexpr.decl_notation list) list -> cumulative:bool -> poly:bool -> ?⁠typing_flags:Declarations.typing_flags -> private_ind:bool -> uniform:uniform_inductive_flag -> Declarations.recursivity_kind -> unit
val make_cases : Names.inductive -> string list list
val interp_mutual_inductive_constr : sigma:Evd.evar_map -> template:bool option -> udecl:UState.universe_decl -> variances:Entries.variance_entry -> ctx_params:(EConstr.tEConstr.t) 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) list -> env_ar_params:Environ.env -> cumulative:bool -> poly:bool -> private_ind:bool -> finite:Declarations.recursivity_kind -> Entries.mutual_inductive_entry * UnivNames.universe_binders * Univ.ContextSet.t
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 : ctor_levels:Univ.Level.Set.t -> UState.universes_entry -> Constr.rel_context -> Sorts.t option -> bool

template_polymorphism_candidate ~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.

val maybe_unify_params_in : Environ.env -> Evd.evar_map -> ninds:int -> nparams:int -> binders:int -> EConstr.t -> Evd.evar_map

nparams is the number of parameters which aren't treated as uniform, ie the length of params (including letins) where the env is uniform params, inductives, params, binders.

val variance_of_entry : cumulative:bool -> variances:Entries.variance_entry -> Entries.inductive_universes_entry -> Entries.variance_entry option

Will return None if non-cumulative, and resize if there are more universes than originally specified. If monomorphic, cumulative is treated as false.