update in static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / syntax / teqx_teqx.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/teqx_teqx.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/teqx_teqx.ma
index b7ab7114dec0637901667906a1cf17f8219d31c5..59e6822870303086668e59a5fd3d571ecbe1e910 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/syntax/teqx_teqx.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/syntax/teqx_teqx.ma
@@ -12,29 +12,25 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "static_2/syntax/teqg_teqg.ma".
 include "static_2/syntax/teqx.ma".
 
 (* SORT-IRRELEVANT EQUIVALENCE ON TERMS *************************************)
 
 (* Main properties **********************************************************)
 
-theorem teqx_trans: Transitive … teqx.
-#T1 #T #H elim H -T1 -T
-[ #s1 #s #X #H
-  elim (teqx_inv_sort1 … H) -s /2 width=1 by teqx_sort/
-| #i1 #i #H <(teqx_inv_lref1 … H) -H //
-| #l1 #l #H <(teqx_inv_gref1 … H) -H //
-| #I #V1 #V #T1 #T #_ #_ #IHV #IHT #X #H
-  elim (teqx_inv_pair1 … H) -H /3 width=1 by teqx_pair/
-]
-qed-.
+theorem teqx_trans:
+        Transitive … teqx.
+/2 width=3 by teqg_trans/ qed-.
 
-theorem teqx_canc_sn: left_cancellable … teqx.
-/3 width=3 by teqx_trans, teqx_sym/ qed-.
-
-theorem teqx_canc_dx: right_cancellable … teqx.
-/3 width=3 by teqx_trans, teqx_sym/ qed-.
+theorem teqx_canc_sn:
+        left_cancellable … teqx.
+/2 width=3 by teqg_canc_sn/ qed-.
 
+theorem teqx_canc_dx:
+        right_cancellable … teqx.
+/2 width=3 by teqg_canc_dx/ qed-.
+(*
 theorem teqx_repl: ∀T1,T2. T1 ≛ T2 →
                    ∀U1. T1 ≛ U1 → ∀U2. T2 ≛ U2 → U1 ≛ U2.
 /3 width=3 by teqx_canc_sn, teqx_trans/ qed-.
@@ -46,3 +42,4 @@ theorem teqx_tneqx_trans: ∀T1,T. T1 ≛ T → ∀T2. (T ≛ T2 → ⊥) → T1
 
 theorem tneqx_teqx_canc_dx: ∀T1,T. (T1 ≛ T → ⊥) → ∀T2. T2 ≛ T → T1 ≛ T2 → ⊥.
 /3 width=3 by teqx_trans/ qed-.
+*)