X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_preserve_cpcs.ma;h=728499addd4f402885adb65ee1f8b4c946b04477;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=ba4b824ced241b76dbdafca37c778f710bc191b4;hpb=a0b7db9844126ebcdf4b5dbb586514854cef5d93;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_cpcs.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_cpcs.ma
index ba4b824ce..728499add 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_cpcs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_cpcs.ma
@@ -19,20 +19,20 @@ include "basic_2/dynamic/cnv_preserve.ma".
 
 (* Forward lemmas with r-equivalence ****************************************)
 
-lemma cnv_cpms_conf_eq (a) (h) (n) (G) (L):
-      ∀T. ⦃G,L⦄ ⊢ T ![a,h] →
-      ∀T1. ⦃G,L⦄ ⊢ T ➡*[n,h] T1 → ∀T2. ⦃G,L⦄ ⊢ T ➡*[n,h] T2 → ⦃G,L⦄ ⊢ T1 ⬌*[h] T2.
-#a #h #n #G #L #T #HT #T1 #HT1 #T2 #HT2
+lemma cnv_cpms_conf_eq (h) (a) (n) (G) (L):
+      ∀T. ❪G,L❫ ⊢ T ![h,a] →
+      ∀T1. ❪G,L❫ ⊢ T ➡*[n,h] T1 → ∀T2. ❪G,L❫ ⊢ T ➡*[n,h] T2 → ❪G,L❫ ⊢ T1 ⬌*[h] T2.
+#h #a #n #G #L #T #HT #T1 #HT1 #T2 #HT2
 elim (cnv_cpms_conf … HT … HT1 … HT2) -T <minus_n_n #T #HT1 #HT2
 /2 width=3 by cprs_div/
 qed-.
 
-lemma cnv_cpms_fwd_appl_sn_decompose (a) (h) (G) (L):
-      ∀V,T. ⦃G,L⦄ ⊢ ⓐV.T ![a,h] → ∀n,X. ⦃G,L⦄ ⊢ ⓐV.T ➡*[n,h] X →
-      ∃∃U. ⦃G,L⦄ ⊢ T ![a,h] & ⦃G,L⦄ ⊢ T ➡*[n,h] U & ⦃G,L⦄ ⊢ ⓐV.U ⬌*[h] X.
-#a #h #G #L #V #T #H0 #n #X #HX
+lemma cnv_cpms_fwd_appl_sn_decompose (h) (a) (G) (L):
+      ∀V,T. ❪G,L❫ ⊢ ⓐV.T ![h,a] → ∀n,X. ❪G,L❫ ⊢ ⓐV.T ➡*[n,h] X →
+      ∃∃U. ❪G,L❫ ⊢ T ![h,a] & ❪G,L❫ ⊢ T ➡*[n,h] U & ❪G,L❫ ⊢ ⓐV.U ⬌*[h] X.
+#h #a #G #L #V #T #H0 #n #X #HX
 elim (cnv_inv_appl … H0) #m #p #W #U #_ #_ #HT #_ #_ -m -p -W -U
-elim (cnv_fwd_cpms_total … h n … HT) #U #HTU
+elim (cnv_fwd_cpms_total h … n … HT) #U #HTU
 lapply (cpms_appl_dx … V V … HTU) [ // ] #H
 /3 width=8 by cnv_cpms_conf_eq, ex3_intro/
 qed-.