]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma
update in basic_2 and ground_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpm_drops.ma
index 03e5a9440432ab0a2166bb4e99ade9dfd85c5f26..cafb6a0e35c9d362ce52d00bd0cef22076c7d04e 100644 (file)
@@ -22,15 +22,15 @@ include "basic_2/rt_transition/cpm.ma".
 (* Basic_1: includes: pr2_delta1 *)
 (* Basic_2A1: includes: cpr_delta *)
 lemma cpm_delta_drops: ∀n,h,G,L,K,V,V2,W2,i.
-                       â¬\87*[i] L â\89¡ K.ⓓV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 →
-                       â¬\86*[⫯i] V2 â\89¡ W2 → ⦃G, L⦄ ⊢ #i ➡[n, h] W2.
+                       â¬\87*[i] L â\89\98 K.ⓓV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 →
+                       â¬\86*[⫯i] V2 â\89\98 W2 → ⦃G, L⦄ ⊢ #i ➡[n, h] W2.
 #n #h #G #L #K #V #V2 #W2 #i #HLK *
 /3 width=8 by cpg_delta_drops, ex2_intro/
 qed.
 
 lemma cpm_ell_drops: ∀n,h,G,L,K,V,V2,W2,i.
-                     â¬\87*[i] L â\89¡ K.ⓛV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 →
-                     â¬\86*[⫯i] V2 â\89¡ W2 → ⦃G, L⦄ ⊢ #i ➡[⫯n, h] W2.
+                     â¬\87*[i] L â\89\98 K.ⓛV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 →
+                     â¬\86*[⫯i] V2 â\89\98 W2 → ⦃G, L⦄ ⊢ #i ➡[⫯n, h] W2.
 #n #h #G #L #K #V #V2 #W2 #i #HLK *
 /3 width=8 by cpg_ell_drops, isrt_succ, ex2_intro/
 qed.
@@ -40,10 +40,10 @@ qed.
 lemma cpm_inv_atom1_drops: ∀n,h,I,G,L,T2. ⦃G, L⦄ ⊢ ⓪{I} ➡[n, h] T2 →
                            ∨∨ T2 = ⓪{I} ∧ n = 0
                             | ∃∃s. T2 = ⋆(next h s) & I = Sort s & n = 1
-                            | â\88\83â\88\83K,V,V2,i. â¬\87*[i] L â\89¡ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 &
-                                          â¬\86*[⫯i] V2 â\89¡ T2 & I = LRef i
-                            | â\88\83â\88\83m,K,V,V2,i. â¬\87*[i] L â\89¡ K.ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 &
-                                            â¬\86*[⫯i] V2 â\89¡ T2 & I = LRef i & n = ⫯m.
+                            | â\88\83â\88\83K,V,V2,i. â¬\87*[i] L â\89\98 K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 &
+                                          â¬\86*[⫯i] V2 â\89\98 T2 & I = LRef i
+                            | â\88\83â\88\83m,K,V,V2,i. â¬\87*[i] L â\89\98 K.ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 &
+                                            â¬\86*[⫯i] V2 â\89\98 T2 & I = LRef i & n = ⫯m.
 #n #h #I #G #L #T2 * #c #Hc #H elim (cpg_inv_atom1_drops … H) -H *
 [ #H1 #H2 destruct lapply (isrt_inv_00 … Hc) -Hc
   /3 width=1 by or4_intro0, conj/
@@ -59,10 +59,10 @@ qed-.
 
 lemma cpm_inv_lref1_drops: ∀n,h,G,L,T2,i. ⦃G, L⦄ ⊢ #i ➡[n, h] T2 →
                            ∨∨ T2 = #i ∧ n = 0
-                            | â\88\83â\88\83K,V,V2. â¬\87*[i] L â\89¡ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 &
-                                        â¬\86*[⫯i] V2 â\89¡ T2
-                            | â\88\83â\88\83m,K,V,V2. â¬\87*[i] L â\89¡ K. ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 &
-                                          â¬\86*[⫯i] V2 â\89¡ T2 & n = ⫯m.
+                            | â\88\83â\88\83K,V,V2. â¬\87*[i] L â\89\98 K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 &
+                                        â¬\86*[⫯i] V2 â\89\98 T2
+                            | â\88\83â\88\83m,K,V,V2. â¬\87*[i] L â\89\98 K. ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 &
+                                          â¬\86*[⫯i] V2 â\89\98 T2 & n = ⫯m.
 #n #h #G #L #T2 #i * #c #Hc #H elim (cpg_inv_lref1_drops … H) -H *
 [ #H1 #H2 destruct lapply (isrt_inv_00 … Hc) -Hc
   /3 width=1 by or3_intro0, conj/