X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcnx_simple.ma;h=e08892002eb748102c0b0e001b743d6c1b0fe88c;hb=4173283e148199871d787c53c0301891deb90713;hp=640e24d372274b829e76517cde123c6e7f8a3f32;hpb=f129bbbfda0e65a5f92ec086246f6e288376d4f9;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma
index 640e24d37..e08892002 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_simple.ma
@@ -19,9 +19,9 @@ include "basic_2/rt_transition/cnx.ma".
 
 (* Inversion lemmas with simple terms ***************************************)
 
-lemma cnx_inv_appl: ∀h,o,G,L,V,T. ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃ⓐV.T⦄ →
-                    ∧∧ ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃V⦄ & ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T⦄ & 𝐒⦃T⦄.
-#h #o #G #L #V1 #T1 #HVT1 @and3_intro
+lemma cnx_inv_appl: ∀h,G,L,V,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃ⓐV.T⦄ →
+                    ∧∧ ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃V⦄ & ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃T⦄ & 𝐒⦃T⦄.
+#h #G #L #V1 #T1 #HVT1 @and3_intro
 [ #V2 #HV2 lapply (HVT1 (ⓐV2.T1) ?) -HVT1 /2 width=1 by cpx_pair_sn/ -HV2
   #H elim (tdeq_inv_pair … H) -H //
 | #T2 #HT2 lapply (HVT1 (ⓐV1.T2) ?) -HVT1 /2 width=1 by cpx_flat/ -HT2
@@ -39,9 +39,9 @@ qed-.
 
 (* Properties with simple terms *********************************************)
 
-lemma cnx_appl_simple: ∀h,o,G,L,V,T. ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃V⦄ → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T⦄ → 𝐒⦃T⦄ →
-                       ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃ⓐV.T⦄.
-#h #o #G #L #V #T #HV #HT #HS #X #H elim (cpx_inv_appl1_simple … H) -H //
+lemma cnx_appl_simple: ∀h,G,L,V,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃V⦄ → ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃T⦄ → 𝐒⦃T⦄ →
+                       ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃ⓐV.T⦄.
+#h #G #L #V #T #HV #HT #HS #X #H elim (cpx_inv_appl1_simple … H) -H //
 #V0 #T0 #HV0 #HT0 #H destruct
 @tdeq_pair [ @HV | @HT ] // (**) (* auto fails because δ-expansion gets in the way *)
 qed.