]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/static_2/static/lsubf.ma
update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / lsubf.ma
index 95cec9a8770af3854146b8f83915535b84073bc5..8e63f58d2731c9390fe1ae767dca6e9ad6effec5 100644 (file)
@@ -270,7 +270,7 @@ qed-.
 (* Basic forward lemmas *****************************************************)
 
 lemma lsubf_fwd_bind_tl:
-      â\88\80f1,f2,I,L1,L2. â\9dªL1.â\93\98[I],f1â\9d« â«\83ð\9d\90\85+ â\9dªL2.â\93\98[I],f2â\9d« â\86\92 â\9dªL1,⫱f1â\9d« â«\83ð\9d\90\85+ â\9dªL2,⫱f2❫.
+      â\88\80f1,f2,I,L1,L2. â\9dªL1.â\93\98[I],f1â\9d« â«\83ð\9d\90\85+ â\9dªL2.â\93\98[I],f2â\9d« â\86\92 â\9dªL1,â«°f1â\9d« â«\83ð\9d\90\85+ â\9dªL2,â«°f2❫.
 #f1 #f2 #I #L1 #L2 #H
 elim (pn_split f1) * #g1 #H0 destruct
 [ elim (lsubf_inv_push_sn … H) | elim (lsubf_inv_bind_sn … H) ] -H
@@ -360,8 +360,8 @@ lemma lsubf_refl_eq: ∀f1,f2,L. f1 ≡ f2 → ❪L,f1❫ ⫃𝐅+ ❪L,f2❫.
 /2 width=3 by lsubf_eq_repl_back2/ qed.
 
 lemma lsubf_bind_tl_dx:
-      â\88\80g1,f2,I,L1,L2. â\9dªL1,g1â\9d« â«\83ð\9d\90\85+ â\9dªL2,⫱f2❫ →
-      â\88\83â\88\83f1. â\9dªL1.â\93\98[I],f1â\9d« â«\83ð\9d\90\85+ â\9dªL2.â\93\98[I],f2â\9d« & g1 = â«±f1.
+      â\88\80g1,f2,I,L1,L2. â\9dªL1,g1â\9d« â«\83ð\9d\90\85+ â\9dªL2,â«°f2❫ →
+      â\88\83â\88\83f1. â\9dªL1.â\93\98[I],f1â\9d« â«\83ð\9d\90\85+ â\9dªL2.â\93\98[I],f2â\9d« & g1 = â«°f1.
 #g1 #f2 #I #L1 #L2 #H
 elim (pn_split f2) * #g2 #H2 destruct
 @ex2_intro [1,2,4,5: /2 width=2 by lsubf_push, lsubf_bind/ ] // (**) (* constructor needed *)
@@ -369,8 +369,8 @@ qed-.
 
 lemma lsubf_beta_tl_dx:
       ∀f,f0,g1,L1,V. L1 ⊢ 𝐅+❪V❫ ≘ f → f0 ⋓ f ≘ g1 →
-      â\88\80f2,L2,W. â\9dªL1,f0â\9d« â«\83ð\9d\90\85+ â\9dªL2,⫱f2❫ →
-      â\88\83â\88\83f1. â\9dªL1.â\93\93â\93\9dW.V,f1â\9d« â«\83ð\9d\90\85+ â\9dªL2.â\93\9bW,f2â\9d« & â«±f1 ⊆ g1.
+      â\88\80f2,L2,W. â\9dªL1,f0â\9d« â«\83ð\9d\90\85+ â\9dªL2,â«°f2❫ →
+      â\88\83â\88\83f1. â\9dªL1.â\93\93â\93\9dW.V,f1â\9d« â«\83ð\9d\90\85+ â\9dªL2.â\93\9bW,f2â\9d« & â«°f1 ⊆ g1.
 #f #f0 #g1 #L1 #V #Hf #Hg1 #f2
 elim (pn_split f2) * #x2 #H2 #L2 #W #HL12 destruct
 [ /3 width=4 by lsubf_push, sor_inv_sle_sn, ex2_intro/