exception WrongUriToInductiveDefinition;;
exception RelToHiddenHypothesis;;
+(* syntactic_equality up to cookingsno for uris *)
+(* (which is often syntactically irrilevant) *)
+let rec syntactic_equality t t' =
+ let module C = Cic in
+ if t = t' then true
+ else
+ match t,t' with
+ C.Rel _, C.Rel _
+ | C.Var _, C.Var _
+ | C.Meta _, C.Meta _
+ | C.Sort _, C.Sort _
+ | C.Implicit, C.Implicit -> false (* we already know that t != t' *)
+ | C.Cast (te,ty), C.Cast (te',ty') ->
+ syntactic_equality te te' &&
+ syntactic_equality ty ty'
+ | C.Prod (n,s,t), C.Prod (n',s',t') ->
+ n = n' &&
+ syntactic_equality s s' &&
+ syntactic_equality t t'
+ | C.Lambda (n,s,t), C.Lambda (n',s',t') ->
+ n = n' &&
+ syntactic_equality s s' &&
+ syntactic_equality t t'
+ | C.LetIn (n,s,t), C.LetIn(n',s',t') ->
+ n = n' &&
+ syntactic_equality s s' &&
+ syntactic_equality t t'
+ | C.Appl l, C.Appl l' ->
+ List.fold_left2 (fun b t1 t2 -> b && syntactic_equality t1 t2) true l l'
+ | C.Const (uri,_), C.Const (uri',_) -> UriManager.eq uri uri'
+ | C.Abst _, C.Abst _ -> assert false
+ | C.MutInd (uri,_,i), C.MutInd (uri',_,i') ->
+ UriManager.eq uri uri' && i = i'
+ | C.MutConstruct (uri,_,i,j), C.MutConstruct (uri',_,i',j') ->
+ UriManager.eq uri uri' && i = i' && j = j'
+ | C.MutCase (sp,_,i,outt,t,pl), C.MutCase (sp',_,i',outt',t',pl') ->
+ UriManager.eq sp sp' && i = i' &&
+ syntactic_equality outt outt' &&
+ syntactic_equality t t' &&
+ List.fold_left2
+ (fun b t1 t2 -> b && syntactic_equality t1 t2) true pl pl'
+ | C.Fix (i,fl), C.Fix (i',fl') ->
+ i = i' &&
+ List.fold_left2
+ (fun b (name,i,ty,bo) (name',i',ty',bo') ->
+ b && name = name' && i = i' &&
+ syntactic_equality ty ty' &&
+ syntactic_equality bo bo') true fl fl'
+ | C.CoFix (i,fl), C.CoFix (i',fl') ->
+ i = i' &&
+ List.fold_left2
+ (fun b (name,ty,bo) (name',ty',bo') ->
+ b && name = name' &&
+ syntactic_equality ty ty' &&
+ syntactic_equality bo bo') true fl fl'
+ | _,_ -> false
+;;
+
(* "textual" replacement of a subterm with another one *)
let replace ~equality ~what ~with_what ~where =
let module C = Cic in