X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Flsubf_frees.ma;h=e36bc6729a3973a630ef35609dbab14eac26960a;hb=98e786e1a6bd7b621e37ba7cd4098d4a0a6f8278;hp=7a39036b54c50d6aedd9b809cc404996e26c8d20;hpb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/lsubf_frees.ma b/matita/matita/contribs/lambdadelta/static_2/static/lsubf_frees.ma
index 7a39036b5..e36bc6729 100644
--- a/matita/matita/contribs/lambdadelta/static_2/static/lsubf_frees.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/lsubf_frees.ma
@@ -18,15 +18,16 @@ include "static_2/static/lsubf.ma".
 
 (* Properties with context-sensitive free variables *************************)
 
-lemma lsubf_frees_trans: ∀f2,L2,T. L2 ⊢ 𝐅*⦃T⦄ ≘ f2 →
-                         ∀f1,L1. ⦃L1, f1⦄ ⫃𝐅* ⦃L2, f2⦄ → L1 ⊢ 𝐅*⦃T⦄ ≘ f1.
+lemma lsubf_frees_trans:
+      ∀f2,L2,T. L2 ⊢ 𝐅+❪T❫ ≘ f2 →
+      ∀f1,L1. ❪L1,f1❫ ⫃𝐅+ ❪L2,f2❫ → L1 ⊢ 𝐅+❪T❫ ≘ f1.
 #f2 #L2 #T #H elim H -f2 -L2 -T
 [ /3 width=5 by lsubf_fwd_isid_dx, frees_sort/
 | #f2 #i #Hf2 #g1 #Y1 #H
   elim (lsubf_inv_atom2 … H) -H #Hg1 #H destruct
-  elim (eq_inv_pushs_dx … Hg1) -Hg1 #g #Hg #H destruct
+  elim (pr_eq_inv_pushs_dx … Hg1) -Hg1 #g #Hg #H destruct
   elim (eq_inv_xn … Hg) -Hg
-  /3 width=3 by frees_atom, isid_eq_repl_fwd/
+  /3 width=3 by frees_atom, pr_isi_eq_repl_fwd/
 | #f2 #I #K2 #W #_ #IH #g1 #Y1 #H elim (lsubf_inv_pair2 … H) -H *
   [ #f1 #K1 #H12 #H1 #H2 destruct /3 width=1 by frees_pair/
   | #f #f0 #f1 #K1 #V #H12 #Hf #Hf1 #H1 #H2 #H3 destruct
@@ -36,7 +37,7 @@ lemma lsubf_frees_trans: ∀f2,L2,T. L2 ⊢ 𝐅*⦃T⦄ ≘ f2 →
   [ #f1 #L1 #H12 #H1 #H2 destruct
     /3 width=5 by lsubf_fwd_isid_dx, frees_unit/
   | #f #f0 #f1 #J #L1 #V #H12 #Hf #Hf1 #H1 #H2 destruct
-    /5 width=9 by lsubf_fwd_isid_dx, frees_eq_repl_back, frees_pair, sor_isid_inv_sn/
+    /5 width=9 by lsubf_fwd_isid_dx, frees_eq_repl_back, frees_pair, pr_sor_inv_isi_sn/
   ]
 | #f2 #I #L2 #i #_ #IH #g1 #L1 #H elim (lsubf_inv_push2 … H) -H
   /3 width=1 by frees_lref/