update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo.ma
index 0ffa64fb35a312b3859ecc6cab0ad72975b518b8..8df0367c5e6381c3152a0efd69914183c700035b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo.ma
@@ -22,7 +22,7 @@ include "basic_2/rt_computation/lpxs_cpxs.ma".
 (* Forward lemmas with sort-irrelevant outer equivalence for terms **********)
 
 lemma cpxs_fwd_sort (G) (L):
-      â\88\80X2,s1. â\9dªG,Lâ\9d« ⊢ ⋆s1 ⬈* X2 → ⋆s1 ~ X2.
+      â\88\80X2,s1. â\9d¨G,Lâ\9d© ⊢ ⋆s1 ⬈* X2 → ⋆s1 ~ X2.
 #G #L #X2 #s1 #H
 elim (cpxs_inv_sort1 … H) -H #s2 #H destruct //
 qed-.
@@ -32,8 +32,8 @@ qed-.
 lemma cpxs_fwd_delta_drops (I) (G) (L) (K):
       ∀V1,i. ⇩[i] L ≘ K.ⓑ[I]V1 →
       ∀V2. ⇧[↑i] V1 ≘ V2 →
-      â\88\80X2. â\9dªG,Lâ\9d« ⊢ #i ⬈* X2 →
-      â\88¨â\88¨ #i ~ X2 | â\9dªG,Lâ\9d« ⊢ V2 ⬈* X2.
+      â\88\80X2. â\9d¨G,Lâ\9d© ⊢ #i ⬈* X2 →
+      â\88¨â\88¨ #i ~ X2 | â\9d¨G,Lâ\9d© ⊢ V2 ⬈* X2.
 #I #G #L #K #V1 #i #HLK #V2 #HV12 #X2 #H
 elim (cpxs_inv_lref1_drops … H) -H /2 width=1 by or_introl/
 * #I0 #K0 #V0 #U0 #HLK0 #HVU0 #HU0
@@ -43,8 +43,8 @@ qed-.
 
 (* Basic_1: was just: pr3_iso_beta *)
 lemma cpxs_fwd_beta (p) (G) (L):
-      â\88\80V,W,T,X2. â\9dªG,Lâ\9d« ⊢ ⓐV.ⓛ[p]W.T ⬈* X2 →
-      â\88¨â\88¨ â\93\90V.â\93\9b[p]W.T ~ X2 | â\9dªG,Lâ\9d« ⊢ ⓓ[p]ⓝW.V.T ⬈* X2.
+      â\88\80V,W,T,X2. â\9d¨G,Lâ\9d© ⊢ ⓐV.ⓛ[p]W.T ⬈* X2 →
+      â\88¨â\88¨ â\93\90V.â\93\9b[p]W.T ~ X2 | â\9d¨G,Lâ\9d© ⊢ ⓓ[p]ⓝW.V.T ⬈* X2.
 #p #G #L #V #W #T #X2 #H elim (cpxs_inv_appl1 … H) -H *
 [ #V0 #T0 #_ #_ #H destruct /2 width=1 by teqo_pair, or_introl/
 | #b #W0 #T0 #HT0 #HU
@@ -57,9 +57,9 @@ lemma cpxs_fwd_beta (p) (G) (L):
 qed-.
 
 lemma cpxs_fwd_theta (p) (G) (L):
-           â\88\80V1,V,T,X2. â\9dªG,Lâ\9d« ⊢ ⓐV1.ⓓ[p]V.T ⬈* X2 →
+           â\88\80V1,V,T,X2. â\9d¨G,Lâ\9d© ⊢ ⓐV1.ⓓ[p]V.T ⬈* X2 →
            ∀V2. ⇧[1] V1 ≘ V2 →
-           â\88¨â\88¨ â\93\90V1.â\93\93[p]V.T ~ X2 | â\9dªG,Lâ\9d« ⊢ ⓓ[p]V.ⓐV2.T ⬈* X2.
+           â\88¨â\88¨ â\93\90V1.â\93\93[p]V.T ~ X2 | â\9d¨G,Lâ\9d© ⊢ ⓓ[p]V.ⓐV2.T ⬈* X2.
 #p #G #L #V1 #V #T #X2 #H #V2 #HV12
 elim (cpxs_inv_appl1 … H) -H *
 [ -HV12 #V0 #T0 #_ #_ #H destruct /2 width=1 by teqo_pair, or_introl/
@@ -89,14 +89,14 @@ elim (cpxs_inv_appl1 … H) -H *
 qed-.
 
 lemma cpxs_fwd_cast (G) (L):
-      â\88\80W,T,X2. â\9dªG,Lâ\9d« ⊢ ⓝW.T ⬈* X2 →
-      â\88¨â\88¨ â\93\9dW. T ~ X2 | â\9dªG,Lâ\9d« â\8a¢ T â¬\88* X2 | â\9dªG,Lâ\9d« ⊢ W ⬈* X2.
+      â\88\80W,T,X2. â\9d¨G,Lâ\9d© ⊢ ⓝW.T ⬈* X2 →
+      â\88¨â\88¨ â\93\9dW. T ~ X2 | â\9d¨G,Lâ\9d© â\8a¢ T â¬\88* X2 | â\9d¨G,Lâ\9d© ⊢ W ⬈* X2.
 #G #L #W #T #X2 #H
 elim (cpxs_inv_cast1 … H) -H /2 width=1 by or3_intro1, or3_intro2/ *
 #W0 #T0 #_ #_ #H destruct /2 width=1 by teqo_pair, or3_intro0/
 qed-.
 
 lemma cpxs_fwd_cnx (G) (L):
-      â\88\80T1. â\9dªG,Lâ\9d« ⊢ ⬈𝐍 T1 →
-      â\88\80X2. â\9dªG,Lâ\9d« ⊢ T1 ⬈* X2 → T1 ~ X2.
+      â\88\80T1. â\9d¨G,Lâ\9d© ⊢ ⬈𝐍 T1 →
+      â\88\80X2. â\9d¨G,Lâ\9d© ⊢ T1 ⬈* X2 → T1 ~ X2.
 /3 width=5 by cpxs_inv_cnx1, teqg_teqo/ qed-.