update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma
index 99d72a494a20df45b7054264d0448be4eeb6ef3b..fe6047de015bef2baaf357d5c33e544bbbb1ddda 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma
@@ -20,16 +20,16 @@ include "basic_2/rt_computation/lpxs_lpx.ma".
 
 (* Basic_2A1: was: cpxs_bind2 *)
 lemma cpxs_bind_alt (G):
-      â\88\80L,V1,V2. â\9dªG,Lâ\9d« ⊢ V1 ⬈* V2 →
-      â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V2â\9d« ⊢ T1 ⬈* T2 →
-      â\88\80p. â\9dªG,Lâ\9d« ⊢ ⓑ[p,I]V1.T1 ⬈* ⓑ[p,I]V2.T2.
+      â\88\80L,V1,V2. â\9d¨G,Lâ\9d© ⊢ V1 ⬈* V2 →
+      â\88\80I,T1,T2. â\9d¨G,L.â\93\91[I]V2â\9d© ⊢ T1 ⬈* T2 →
+      â\88\80p. â\9d¨G,Lâ\9d© ⊢ ⓑ[p,I]V1.T1 ⬈* ⓑ[p,I]V2.T2.
 /4 width=5 by lpxs_cpxs_trans, lpxs_pair, cpxs_bind/ qed.
 
 (* Inversion lemmas with context-sensitive ext rt-computation for terms *****)
 
 lemma cpxs_inv_abst1 (G):
-      â\88\80p,L,V1,T1,U2. â\9dªG,Lâ\9d« ⊢ ⓛ[p]V1.T1 ⬈* U2 →
-      â\88\83â\88\83V2,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\88* V2 & â\9dªG,L.â\93\9bV1â\9d« ⊢ T1 ⬈* T2 & U2 = ⓛ[p]V2.T2.
+      â\88\80p,L,V1,T1,U2. â\9d¨G,Lâ\9d© ⊢ ⓛ[p]V1.T1 ⬈* U2 →
+      â\88\83â\88\83V2,T2. â\9d¨G,Lâ\9d© â\8a¢ V1 â¬\88* V2 & â\9d¨G,L.â\93\9bV1â\9d© ⊢ T1 ⬈* T2 & U2 = ⓛ[p]V2.T2.
 #G #p #L #V1 #T1 #U2 #H @(cpxs_ind … H) -U2 /2 width=5 by ex3_2_intro/
 #U0 #U2 #_ #HU02 * #V0 #T0 #HV10 #HT10 #H destruct
 elim (cpx_inv_abst1 … HU02) -HU02 #V2 #T2 #HV02 #HT02 #H destruct
@@ -39,9 +39,9 @@ qed-.
 
 (* Basic_2A1: was: cpxs_inv_abbr1 *)
 lemma cpxs_inv_abbr1_dx (p) (G) (L):
-      â\88\80V1,T1,U2. â\9dªG,Lâ\9d« ⊢ ⓓ[p]V1.T1 ⬈* U2 →
-      â\88¨â\88¨ â\88\83â\88\83V2,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\88* V2 & â\9dªG,L.â\93\93V1â\9d« ⊢ T1 ⬈* T2 & U2 = ⓓ[p]V2.T2
-       | â\88\83â\88\83T2. â\9dªG,L.â\93\93V1â\9d« ⊢ T1 ⬈* T2 & ⇧[1] U2 ≘ T2 & p = Ⓣ.
+      â\88\80V1,T1,U2. â\9d¨G,Lâ\9d© ⊢ ⓓ[p]V1.T1 ⬈* U2 →
+      â\88¨â\88¨ â\88\83â\88\83V2,T2. â\9d¨G,Lâ\9d© â\8a¢ V1 â¬\88* V2 & â\9d¨G,L.â\93\93V1â\9d© ⊢ T1 ⬈* T2 & U2 = ⓓ[p]V2.T2
+       | â\88\83â\88\83T2. â\9d¨G,L.â\93\93V1â\9d© ⊢ T1 ⬈* T2 & ⇧[1] U2 ≘ T2 & p = Ⓣ.
 #p #G #L #V1 #T1 #U2 #H
 @(cpxs_ind … H) -U2 /3 width=5 by ex3_2_intro, or_introl/
 #U0 #U2 #_ #HU02 * *