package coq

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package coq
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type rule =
  1. | Ax of Constr.constr
  2. | SymAx of Constr.constr
  3. | Refl of Ccalgo.ATerm.t
  4. | Trans of proof * proof
  5. | Congr of proof * proof
  6. | Inject of proof * Constr.pconstructor * int * int
and proof = private {
  1. p_lhs : Ccalgo.ATerm.t;
  2. p_rhs : Ccalgo.ATerm.t;
  3. p_rule : rule;
}

Proof smart constructors

val prefl : Ccalgo.ATerm.t -> proof
val pcongr : proof -> proof -> proof
val ptrans : proof -> proof -> proof
val psym : proof -> proof
val pax : (Ccalgo.ATerm.t * Ccalgo.ATerm.t) Cc_plugin.Ccalgo.Constrhash.t -> Cc_plugin.Ccalgo.Constrhash.key -> proof
val psymax : (Ccalgo.ATerm.t * Ccalgo.ATerm.t) Cc_plugin.Ccalgo.Constrhash.t -> Cc_plugin.Ccalgo.Constrhash.key -> proof
val pinject : proof -> Constr.pconstructor -> int -> int -> proof

Proof building functions

val equal_proof : Environ.env -> Evd.evar_map -> Ccalgo.forest -> int -> int -> proof
val edge_proof : Environ.env -> Evd.evar_map -> Ccalgo.forest -> ((int * int) * Ccalgo.equality) -> proof
val path_proof : Environ.env -> Evd.evar_map -> Ccalgo.forest -> int -> ((int * int) * Ccalgo.equality) list -> proof
val congr_proof : Environ.env -> Evd.evar_map -> Ccalgo.forest -> int -> int -> proof

Main proof building function

val build_proof : Environ.env -> Evd.evar_map -> Ccalgo.forest -> [ `Discr of int * Ccalgo.pa_constructor * int * Ccalgo.pa_constructor | `Prove of int * int ] -> proof
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