Ccproof (p.coq.8.15.2.doc.cc_plugin.Cc

Sourcetype rule =

| Ax of Constr.constr
| SymAx of Constr.constr
| Refl of Ccalgo.ATerm.t
| Trans of proof * proof
| Congr of proof * proof
| Inject of proof * Constr.pconstructor * int * int

Sourceand proof = private {

p_lhs : Ccalgo.ATerm.t;
p_rhs : Ccalgo.ATerm.t;
p_rule : rule;

}

Proof smart constructors

Sourceval prefl : Ccalgo.ATerm.t -> proof

Sourceval pcongr : proof -> proof -> proof

Sourceval ptrans : proof -> proof -> proof

Sourceval psym : proof -> proof

Source

val pax : 
  (Ccalgo.ATerm.t * Ccalgo.ATerm.t) Cc_plugin.Ccalgo.Constrhash.t ->
  Cc_plugin.Ccalgo.Constrhash.key ->
  proof

Source

val psymax : 
  (Ccalgo.ATerm.t * Ccalgo.ATerm.t) Cc_plugin.Ccalgo.Constrhash.t ->
  Cc_plugin.Ccalgo.Constrhash.key ->
  proof

Sourceval pinject : proof -> Constr.pconstructor -> int -> int -> proof

Proof building functions

Source

val equal_proof : 
  Environ.env ->
  Evd.evar_map ->
  Ccalgo.forest ->
  int ->
  int ->
  proof

Source

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

Source

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

Source

val congr_proof : 
  Environ.env ->
  Evd.evar_map ->
  Ccalgo.forest ->
  int ->
  int ->
  proof

Source

val ind_proof : 
  Environ.env ->
  Evd.evar_map ->
  Ccalgo.forest ->
  int ->
  Ccalgo.pa_constructor ->
  int ->
  Ccalgo.pa_constructor ->
  proof

Main proof building function

Source

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