X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpm_drops.ma;h=cafb6a0e35c9d362ce52d00bd0cef22076c7d04e;hb=75f395f0febd02de8e0f881d918a8812b1425c8d;hp=03e5a9440432ab0a2166bb4e99ade9dfd85c5f26;hpb=d59f344b1e4b377e2f06abd9f8856d686d21b222;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma
index 03e5a9440..cafb6a0e3 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma
@@ -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.
-                       ⬇*[i] L ≡ K.ⓓV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 →
-                       ⬆*[⫯i] V2 ≡ W2 → ⦃G, L⦄ ⊢ #i ➡[n, h] W2.
+                       ⬇*[i] L ≘ K.ⓓV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 →
+                       ⬆*[⫯i] V2 ≘ 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.
-                     ⬇*[i] L ≡ K.ⓛV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 →
-                     ⬆*[⫯i] V2 ≡ W2 → ⦃G, L⦄ ⊢ #i ➡[⫯n, h] W2.
+                     ⬇*[i] L ≘ K.ⓛV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 →
+                     ⬆*[⫯i] V2 ≘ 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
-                            | ∃∃K,V,V2,i. ⬇*[i] L ≡ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 &
-                                          ⬆*[⫯i] V2 ≡ T2 & I = LRef i
-                            | ∃∃m,K,V,V2,i. ⬇*[i] L ≡ K.ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 &
-                                            ⬆*[⫯i] V2 ≡ T2 & I = LRef i & n = ⫯m.
+                            | ∃∃K,V,V2,i. ⬇*[i] L ≘ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 &
+                                          ⬆*[⫯i] V2 ≘ T2 & I = LRef i
+                            | ∃∃m,K,V,V2,i. ⬇*[i] L ≘ K.ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 &
+                                            ⬆*[⫯i] V2 ≘ 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
-                            | ∃∃K,V,V2. ⬇*[i] L ≡ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 &
-                                        ⬆*[⫯i] V2 ≡ T2
-                            | ∃∃m,K,V,V2. ⬇*[i] L ≡ K. ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 &
-                                          ⬆*[⫯i] V2 ≡ T2 & n = ⫯m.
+                            | ∃∃K,V,V2. ⬇*[i] L ≘ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 &
+                                        ⬆*[⫯i] V2 ≘ T2
+                            | ∃∃m,K,V,V2. ⬇*[i] L ≘ K. ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 &
+                                          ⬆*[⫯i] V2 ≘ 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/