package coq

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  1. Coercions.
Formal proof management system

Install 

dune-project
 Dependency

coq.inria.fr Edit opam file Versions (40)

Authors

  1. T
    The Coq development team, INRIA, CNRS, and contributors.

Maintainers

  1. C
    coqdev@inria.fr

Sources

coq-8.14.0.tar.gz
sha256=b1501d686c21836302191ae30f610cca57fb309214c126518ca009363ad2cd3c

doc/coq-core.pretyping/Coercion/index.html

Module CoercionSource

Coercions.
Sourcetype coercion_trace
Sourceval empty_coercion_trace : coercion_trace
Sourceval reapply_coercions : Evd.evar_map -> coercion_trace -> EConstr.t -> EConstr.t

inh_app_fun resolve_tc env isevars j coerces j to a function; i.e. it inserts a coercion into j, if needed, in such a way it gets as type a product; it returns j if no coercion is applicable. resolve_tc=false disables resolving type classes (as the last resort before failing)

inh_coerce_to_sort env isevars j coerces j to a type; i.e. it inserts a coercion into j, if needed, in such a way it gets as type a sort; it fails if no coercion is applicable

Sourceval inh_coerce_to_base : ?loc:Loc.t -> program_mode:bool -> Environ.env -> Evd.evar_map -> EConstr.unsafe_judgment -> Evd.evar_map * EConstr.unsafe_judgment

inh_coerce_to_base env isevars j coerces j to its base type; i.e. it inserts a coercion into j, if needed, in such a way it gets as type its base type (the notion depends on the coercion system)

Sourceval inh_coerce_to_prod : ?loc:Loc.t -> program_mode:bool -> Environ.env -> Evd.evar_map -> EConstr.types -> Evd.evar_map * EConstr.types

inh_coerce_to_prod env isevars t coerces t to a product type

inh_conv_coerce_to resolve_tc Loc.t env isevars j t coerces j to an object of type t; i.e. it inserts a coercion into j, if needed, in such a way t and j.uj_type are convertible; it fails if no coercion is applicable. resolve_tc=false disables resolving type classes (as the last resort before failing)

Sourceval inh_conv_coerce_to : ?loc:Loc.t -> program_mode:bool -> bool -> Environ.env -> Evd.evar_map -> ?flags:Evarconv.unify_flags -> EConstr.unsafe_judgment -> EConstr.types -> Evd.evar_map * EConstr.unsafe_judgment * coercion_trace option
Sourceval inh_conv_coerce_rigid_to : ?loc:Loc.t -> program_mode:bool -> bool -> Environ.env -> Evd.evar_map -> ?flags:Evarconv.unify_flags -> EConstr.unsafe_judgment -> EConstr.types -> Evd.evar_map * EConstr.unsafe_judgment * coercion_trace option

inh_pattern_coerce_to loc env isevars pat ind1 ind2 coerces the Cases pattern pat typed in ind1 into a pattern typed in ind2; raises Not_found if no coercion found