update in ground_2, static_2, basic_2, apps_2, alpha_1

[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 bf54e6acc1d08f337a2afaf4ba378c5e604d3c9e..b04bf7ba2af909854753b1ee9cba6024984150e7 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
@@ -19,16 +19,16 @@ include "basic_2/rt_computation/lpxs_lpx.ma".
 (* Properties with context-sensitive extended rt-computation for terms ******)
 
 (* Basic_2A1: was: cpxs_bind2 *)
-lemma cpxs_bind_dx (h) (G): â\88\80L,V1,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¬\88*[h] â\93\91{p,I}V2.T2.
+lemma cpxs_bind_dx (h) (G): â\88\80L,V1,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¬\88*[h] â\93\91[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 (h) (G): â\88\80p,L,V1,T1,U2. â¦\83G,Lâ¦\84 â\8a¢ â\93\9b{p}V1.T1 ⬈*[h] U2 →
-                              â\88\83â\88\83V2,T2. â¦\83G,Lâ¦\84 â\8a¢ V1 â¬\88*[h] V2 & â¦\83G,L.â\93\9bV1â¦\84 ⊢ T1 ⬈*[h] T2 &
-                                       U2 = ⓛ{p}V2.T2.
+lemma cpxs_inv_abst1 (h) (G): â\88\80p,L,V1,T1,U2. â\9dªG,Lâ\9d« â\8a¢ â\93\9b[p]V1.T1 ⬈*[h] U2 →
+                              â\88\83â\88\83V2,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\88*[h] V2 & â\9dªG,L.â\93\9bV1â\9d« ⊢ T1 ⬈*[h] T2 &
+                                       U2 = ⓛ[p]V2.T2.
 #h #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
@@ -38,10 +38,10 @@ qed-.
 
 (* Basic_2A1: was: cpxs_inv_abbr1 *)
 lemma cpxs_inv_abbr1_dx (h) (p) (G) (L):
-                        â\88\80V1,T1,U2. â¦\83G,Lâ¦\84 â\8a¢ â\93\93{p}V1.T1 ⬈*[h] U2 →
-                        â\88¨â\88¨ â\88\83â\88\83V2,T2. â¦\83G,Lâ¦\84 â\8a¢ V1 â¬\88*[h] V2 & â¦\83G,L.â\93\93V1â¦\84 ⊢ T1 ⬈*[h] T2 &
-                                    U2 = ⓓ{p}V2.T2
-                         | â\88\83â\88\83T2. â¦\83G,L.â\93\93V1â¦\84 ⊢ T1 ⬈*[h] T2 & ⇧*[1] U2 ≘ T2 & p = Ⓣ.
+                        â\88\80V1,T1,U2. â\9dªG,Lâ\9d« â\8a¢ â\93\93[p]V1.T1 ⬈*[h] U2 →
+                        â\88¨â\88¨ â\88\83â\88\83V2,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â¬\88*[h] V2 & â\9dªG,L.â\93\93V1â\9d« ⊢ T1 ⬈*[h] T2 &
+                                    U2 = ⓓ[p]V2.T2
+                         | â\88\83â\88\83T2. â\9dªG,L.â\93\93V1â\9d« ⊢ T1 ⬈*[h] T2 & ⇧*[1] U2 ≘ T2 & p = Ⓣ.
 #h #p #G #L #V1 #T1 #U2 #H
 @(cpxs_ind … H) -U2 /3 width=5 by ex3_2_intro, or_introl/
 #U0 #U2 #_ #HU02 * *