renaming in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / syntax / tdeq_tdeq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/syntax/tdeq_tdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/syntax/tdeq_tdeq.ma
index af82e7cd76d0ad7c7ae1986d6704a66318058d76..80d13f4e6cbcbe45f088ea698747ff6b4d69a14f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/syntax/tdeq_tdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/syntax/tdeq_tdeq.ma
@@ -24,7 +24,7 @@ theorem tdeq_trans: ∀h,o. Transitive … (tdeq h o).
   elim (tdeq_inv_sort1_deg … H … Hs) -s /2 width=3 by tdeq_sort/
 | #i1 #i #H <(tdeq_inv_lref1 … H) -H //
 | #l1 #l #H <(tdeq_inv_gref1 … H) -H //
-| #I #V1 #V #T1 #T #_ #_ #IHV #IHT #X #H destruct
+| #I #V1 #V #T1 #T #_ #_ #IHV #IHT #X #H
   elim (tdeq_inv_pair1 … H) -H /3 width=1 by tdeq_pair/
 ]
 qed-.
@@ -35,16 +35,16 @@ theorem tdeq_canc_sn: ∀h,o. left_cancellable … (tdeq h o).
 theorem tdeq_canc_dx: ∀h,o. right_cancellable … (tdeq h o).
 /3 width=3 by tdeq_trans, tdeq_sym/ qed-.
 
-theorem tdeq_repl: â\88\80h,o,T1,T2. T1 â\89¡[h, o] T2 →
-                   â\88\80U1. T1 â\89¡[h, o] U1 â\86\92 â\88\80U2. T2 â\89¡[h, o] U2 â\86\92 U1 â\89¡[h, o] U2.
+theorem tdeq_repl: â\88\80h,o,T1,T2. T1 â\89\9b[h, o] T2 →
+                   â\88\80U1. T1 â\89\9b[h, o] U1 â\86\92 â\88\80U2. T2 â\89\9b[h, o] U2 â\86\92 U1 â\89\9b[h, o] U2.
 /3 width=3 by tdeq_canc_sn, tdeq_trans/ qed-.
 
 (* Negated main properies ***************************************************)
 
-theorem tdeq_tdneq_trans: â\88\80h,o,T1,T. T1 â\89¡[h, o] T â\86\92 â\88\80T2. (T â\89¡[h, o] T2 → ⊥) →
-                          T1 â\89¡[h, o] T2 → ⊥.
+theorem tdeq_tdneq_trans: â\88\80h,o,T1,T. T1 â\89\9b[h, o] T â\86\92 â\88\80T2. (T â\89\9b[h, o] T2 → ⊥) →
+                          T1 â\89\9b[h, o] T2 → ⊥.
 /3 width=3 by tdeq_canc_sn/ qed-.
 
-theorem tndeq_tdeq_canc_dx: ∀h,o,T1,T. (T1 ≡[h, o] T → ⊥) → ∀T2. T2 ≡[h, o] T →
-                            T1 â\89¡[h, o] T2 → ⊥.
+theorem tdneq_tdeq_canc_dx: ∀h,o,T1,T. (T1 ≛[h, o] T → ⊥) → ∀T2. T2 ≛[h, o] T →
+                            T1 â\89\9b[h, o] T2 → ⊥.
 /3 width=3 by tdeq_trans/ qed-.