update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_equivalence / cpcs_cpcs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_cpcs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_cpcs.ma
index 85cd8c7322f25fbf1675e8783bb908daf4949594..692bd0b6136d15d930a9fad21408fdefbf986da6 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_cpcs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_cpcs.ma
@@ -31,21 +31,21 @@ theorem cpcs_canc_dx (h) (G) (L): right_cancellable … (cpcs h G L).
 
 (* Advanced properties ******************************************************)
 
-lemma cpcs_bind1 (h) (G) (L): â\88\80V1,V2. â¦\83G,Lâ¦\84 ⊢ V1 ⬌*[h] V2 →
-                              â\88\80I,T1,T2. â¦\83G,L.â\93\91{I}V1â¦\84 ⊢ T1 ⬌*[h] T2 →
-                              â\88\80p. â¦\83G,Lâ¦\84 â\8a¢ â\93\91{p,I}V1.T1 â¬\8c*[h] â\93\91{p,I}V2.T2.
+lemma cpcs_bind1 (h) (G) (L): â\88\80V1,V2. â\9dªG,Lâ\9d« ⊢ V1 ⬌*[h] V2 →
+                              â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V1â\9d« ⊢ T1 ⬌*[h] T2 →
+                              â\88\80p. â\9dªG,Lâ\9d« â\8a¢ â\93\91[p,I]V1.T1 â¬\8c*[h] â\93\91[p,I]V2.T2.
 /3 width=3 by cpcs_trans, cpcs_bind_sn, cpcs_bind_dx/ qed.
 
-lemma cpcs_bind2 (h) (G) (L): â\88\80V1,V2. â¦\83G,Lâ¦\84 ⊢ V1 ⬌*[h] V2 →
-                              â\88\80I,T1,T2. â¦\83G,L.â\93\91{I}V2â¦\84 ⊢ T1 ⬌*[h] T2 →
-                              â\88\80p. â¦\83G,Lâ¦\84 â\8a¢ â\93\91{p,I}V1.T1 â¬\8c*[h] â\93\91{p,I}V2.T2.
+lemma cpcs_bind2 (h) (G) (L): â\88\80V1,V2. â\9dªG,Lâ\9d« ⊢ V1 ⬌*[h] V2 →
+                              â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V2â\9d« ⊢ T1 ⬌*[h] T2 →
+                              â\88\80p. â\9dªG,Lâ\9d« â\8a¢ â\93\91[p,I]V1.T1 â¬\8c*[h] â\93\91[p,I]V2.T2.
 /3 width=3 by cpcs_trans, cpcs_bind_sn, cpcs_bind_dx/ qed.
 
 (* Advanced properties with r-transition for full local environments ********)
 
 (* Basic_1: was: pc3_wcpr0 *)
-lemma lpr_cpcs_conf (h) (G): â\88\80L1,L2. â¦\83G,L1â¦\84 ⊢ ➡[h] L2 →
-                             â\88\80T1,T2. â¦\83G,L1â¦\84 â\8a¢ T1 â¬\8c*[h] T2 â\86\92 â¦\83G,L2â¦\84 ⊢ T1 ⬌*[h] T2.
+lemma lpr_cpcs_conf (h) (G): â\88\80L1,L2. â\9dªG,L1â\9d« ⊢ ➡[h] L2 →
+                             â\88\80T1,T2. â\9dªG,L1â\9d« â\8a¢ T1 â¬\8c*[h] T2 â\86\92 â\9dªG,L2â\9d« ⊢ T1 ⬌*[h] T2.
 #h #G #L1 #L2 #HL12 #T1 #T2 #H elim (cpcs_inv_cprs … H) -H
 /3 width=5 by cpcs_canc_dx, lpr_cprs_conf/
 qed-.