+let alpha_eq ~test_lambda_source aux test_eq_only metasenv subst context t1 t2 =
+ if t1 === t2 then
+ true
+ else
+ match (t1,t2) with
+ | C.Sort s1, C.Sort s2 ->
+ NCicEnvironment.are_sorts_convertible ~test_eq_only s1 s2
+
+ | (C.Prod (name1,s1,t1), C.Prod(_,s2,t2)) ->
+ aux true context s1 s2 &&
+ aux test_eq_only ((name1, C.Decl s1)::context) t1 t2
+ | (C.Lambda (name1,s1,t1), C.Lambda(_,_,t2)) ->
+ if test_lambda_source then
+ aux test_eq_only context t1 t2
+ else
+ (* thanks to inversion of well typedness, the source
+ * of these lambdas must be already convertible *)
+ aux test_eq_only ((name1, C.Decl s1)::context) t1 t2
+ | (C.LetIn (name1,ty1,s1,t1), C.LetIn(_,ty2,s2,t2)) ->
+ aux test_eq_only context ty1 ty2 &&
+ aux test_eq_only context s1 s2 &&
+ aux test_eq_only ((name1, C.Def (s1,ty1))::context) t1 t2
+
+ | (C.Meta (n1,(s1, C.Irl _)), C.Meta (n2,(s2, C.Irl _)))
+ when n1 = n2 && s1 = s2 -> true
+ | (C.Meta (n1,(s1, l1)), C.Meta (n2,(s2, l2))) when n1 = n2 &&
+ let l1 = NCicUtils.expand_local_context l1 in
+ let l2 = NCicUtils.expand_local_context l2 in
+ (try List.for_all2
+ (fun t1 t2 -> aux test_eq_only context
+ (NCicSubstitution.lift s1 t1)
+ (NCicSubstitution.lift s2 t2))
+ l1 l2
+ with Invalid_argument "List.for_all2" ->
+ prerr_endline ("Meta " ^ string_of_int n1 ^
+ " occurrs with local contexts of different lenght\n"^
+ NCicPp.ppterm ~metasenv ~subst ~context t1 ^ " === " ^
+ NCicPp.ppterm ~metasenv ~subst ~context t2);
+ assert false) -> true
+
+ | C.Meta (n1,l1), _ ->
+ (try
+ let _,_,term,_ = NCicUtils.lookup_subst n1 subst in
+ let term = NCicSubstitution.subst_meta l1 term in
+ aux test_eq_only context term t2
+ with NCicUtils.Subst_not_found _ -> false)
+ | _, C.Meta (n2,l2) ->
+ (try
+ let _,_,term,_ = NCicUtils.lookup_subst n2 subst in
+ let term = NCicSubstitution.subst_meta l2 term in
+ aux test_eq_only context t1 term
+ with NCicUtils.Subst_not_found _ -> false)
+
+ | (C.Appl ((C.Const r1) as hd1::tl1), C.Appl (C.Const r2::tl2))
+ when (Ref.eq r1 r2 &&
+ List.length (E.get_relevance r1) >= List.length tl1) ->
+ let relevance = E.get_relevance r1 in
+ let relevance = match r1 with
+ | Ref.Ref (_,Ref.Con (_,_,lno)) ->
+ let _,relevance = HExtlib.split_nth lno relevance in
+ HExtlib.mk_list false lno @ relevance
+ | _ -> relevance
+ in
+ (try
+ HExtlib.list_forall_default3_var
+ (fun t1 t2 b -> not b || aux true context t1 t2 )
+ tl1 tl2 true relevance
+ with Invalid_argument _ -> false
+ | HExtlib.FailureAt fail ->
+ let relevance =
+ !get_relevance ~metasenv ~subst context hd1 tl1 in
+ let _,relevance = HExtlib.split_nth fail relevance in
+ let b,relevance = (match relevance with
+ | [] -> assert false
+ | b::tl -> b,tl) in
+ if (not b) then
+ let _,tl1 = HExtlib.split_nth (fail+1) tl1 in
+ let _,tl2 = HExtlib.split_nth (fail+1) tl2 in
+ try
+ HExtlib.list_forall_default3
+ (fun t1 t2 b -> not b || aux true context t1 t2)
+ tl1 tl2 true relevance
+ with Invalid_argument _ -> false
+ else false)
+
+ | (C.Appl (hd1::tl1), C.Appl (hd2::tl2)) ->
+ aux test_eq_only context hd1 hd2 &&
+ let relevance = !get_relevance ~metasenv ~subst context hd1 tl1 in
+ (try
+ HExtlib.list_forall_default3
+ (fun t1 t2 b -> not b || aux true context t1 t2)
+ tl1 tl2 true relevance
+ with Invalid_argument _ -> false)
+
+ | (C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as ref1,outtype1,term1,pl1),
+ C.Match (ref2,outtype2,term2,pl2)) ->
+ let _,_,itl,_,_ = E.get_checked_indtys ref1 in
+ let _,_,ty,_ = List.nth itl tyno in
+ let rec remove_prods ~subst context ty =
+ let ty = whd ~subst context ty in
+ match ty with
+ | C.Sort _ -> ty
+ | C.Prod (name,so,ta) -> remove_prods ~subst ((name,(C.Decl so))::context) ta
+ | _ -> assert false
+ in
+ let is_prop =
+ match remove_prods ~subst [] ty with
+ | C.Sort C.Prop -> true
+ | _ -> false
+ in
+ Ref.eq ref1 ref2 &&
+ aux test_eq_only context outtype1 outtype2 &&
+ (is_prop || aux test_eq_only context term1 term2) &&
+ (try List.for_all2 (aux test_eq_only context) pl1 pl2
+ with Invalid_argument _ -> false)
+ | (C.Implicit _, _) | (_, C.Implicit _) -> assert false
+ | (_,_) -> false
+;;
+