update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma
index 17f352a9c6e3fbff8a1d2fbdb4a253d4c1b4876e..6885d5379b554012babec8f66881bd5ef4cc5eaf 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma
@@ -29,14 +29,14 @@ interpretation
 
 (* Basic_2A1: uses: lpxs_pair_refl *)
 lemma lpxs_bind_refl_dx (G):
-      â\88\80L1,L2. â\9dªG,L1â\9d« ⊢ ⬈* L2 →
-      â\88\80I. â\9dªG,L1.â\93\98[I]â\9d« ⊢ ⬈* L2.ⓘ[I].
+      â\88\80L1,L2. â\9d¨G,L1â\9d© ⊢ ⬈* L2 →
+      â\88\80I. â\9d¨G,L1.â\93\98[I]â\9d© ⊢ ⬈* L2.ⓘ[I].
 /2 width=1 by lex_bind_refl_dx/ qed.
 
 lemma lpxs_pair (G):
-      â\88\80L1,L2. â\9dªG,L1â\9d« ⊢ ⬈* L2 →
-      â\88\80V1,V2. â\9dªG,L1â\9d« ⊢ V1 ⬈* V2 →
-      â\88\80I. â\9dªG,L1.â\93\91[I]V1â\9d« ⊢ ⬈* L2.ⓑ[I]V2.
+      â\88\80L1,L2. â\9d¨G,L1â\9d© ⊢ ⬈* L2 →
+      â\88\80V1,V2. â\9d¨G,L1â\9d© ⊢ V1 ⬈* V2 →
+      â\88\80I. â\9d¨G,L1.â\93\91[I]V1â\9d© ⊢ ⬈* L2.ⓑ[I]V2.
 /2 width=1 by lex_pair/ qed.
 
 lemma lpxs_refl (G):
@@ -47,29 +47,29 @@ lemma lpxs_refl (G):
 
 (* Basic_2A1: was: lpxs_inv_atom1 *)
 lemma lpxs_inv_atom_sn (G):
-      â\88\80L2. â\9dªG,â\8b\86â\9d« ⊢ ⬈* L2 → L2 = ⋆.
+      â\88\80L2. â\9d¨G,â\8b\86â\9d© ⊢ ⬈* L2 → L2 = ⋆.
 /2 width=2 by lex_inv_atom_sn/ qed-.
 
 lemma lpxs_inv_bind_sn (G):
-      â\88\80I1,L2,K1. â\9dªG,K1.â\93\98[I1]â\9d« ⊢ ⬈* L2 →
-      â\88\83â\88\83I2,K2. â\9dªG,K1â\9d« â\8a¢ â¬\88* K2 & â\9dªG,K1â\9d« ⊢ I1 ⬈* I2 & L2 = K2.ⓘ[I2].
+      â\88\80I1,L2,K1. â\9d¨G,K1.â\93\98[I1]â\9d© ⊢ ⬈* L2 →
+      â\88\83â\88\83I2,K2. â\9d¨G,K1â\9d© â\8a¢ â¬\88* K2 & â\9d¨G,K1â\9d© ⊢ I1 ⬈* I2 & L2 = K2.ⓘ[I2].
 /2 width=1 by lex_inv_bind_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_inv_pair1 *)
 lemma lpxs_inv_pair_sn (G):
-      â\88\80I,L2,K1,V1. â\9dªG,K1.â\93\91[I]V1â\9d« ⊢ ⬈* L2 →
-      â\88\83â\88\83K2,V2. â\9dªG,K1â\9d« â\8a¢ â¬\88* K2 & â\9dªG,K1â\9d« ⊢ V1 ⬈* V2 & L2 = K2.ⓑ[I]V2.
+      â\88\80I,L2,K1,V1. â\9d¨G,K1.â\93\91[I]V1â\9d© ⊢ ⬈* L2 →
+      â\88\83â\88\83K2,V2. â\9d¨G,K1â\9d© â\8a¢ â¬\88* K2 & â\9d¨G,K1â\9d© ⊢ V1 ⬈* V2 & L2 = K2.ⓑ[I]V2.
 /2 width=1 by lex_inv_pair_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_inv_atom2 *)
 lemma lpxs_inv_atom_dx (G):
-      â\88\80L1. â\9dªG,L1â\9d« ⊢ ⬈* ⋆ → L1 = ⋆.
+      â\88\80L1. â\9d¨G,L1â\9d© ⊢ ⬈* ⋆ → L1 = ⋆.
 /2 width=2 by lex_inv_atom_dx/ qed-.
 
 (* Basic_2A1: was: lpxs_inv_pair2 *)
 lemma lpxs_inv_pair_dx (G):
-      â\88\80I,L1,K2,V2. â\9dªG,L1â\9d« ⊢ ⬈* K2.ⓑ[I]V2 →
-      â\88\83â\88\83K1,V1. â\9dªG,K1â\9d« â\8a¢ â¬\88* K2 & â\9dªG,K1â\9d« ⊢ V1 ⬈* V2 & L1 = K1.ⓑ[I]V1.
+      â\88\80I,L1,K2,V2. â\9d¨G,L1â\9d© ⊢ ⬈* K2.ⓑ[I]V2 →
+      â\88\83â\88\83K1,V1. â\9d¨G,K1â\9d© â\8a¢ â¬\88* K2 & â\9d¨G,K1â\9d© ⊢ V1 ⬈* V2 & L1 = K1.ⓑ[I]V1.
 /2 width=1 by lex_inv_pair_dx/ qed-.
 
 (* Basic eliminators ********************************************************)
@@ -78,12 +78,12 @@ lemma lpxs_inv_pair_dx (G):
 lemma lpxs_ind (G) (Q:relation …):
       Q (⋆) (⋆) → (
         ∀I,K1,K2.
-        â\9dªG,K1â\9d« ⊢ ⬈* K2 →
+        â\9d¨G,K1â\9d© ⊢ ⬈* K2 →
         Q K1 K2 → Q (K1.ⓘ[I]) (K2.ⓘ[I])
       ) → (
         ∀I,K1,K2,V1,V2.
-        â\9dªG,K1â\9d« â\8a¢ â¬\88* K2 â\86\92 â\9dªG,K1â\9d« ⊢ V1 ⬈* V2 →
+        â\9d¨G,K1â\9d© â\8a¢ â¬\88* K2 â\86\92 â\9d¨G,K1â\9d© ⊢ V1 ⬈* V2 →
         Q K1 K2 → Q (K1.ⓑ[I]V1) (K2.ⓑ[I]V2)
       ) →
-      â\88\80L1,L2. â\9dªG,L1â\9d« ⊢ ⬈* L2 → Q L1 L2.
+      â\88\80L1,L2. â\9d¨G,L1â\9d© ⊢ ⬈* L2 → Q L1 L2.
 /3 width=4 by lex_ind/ qed-.