X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fdrops_lreq.ma;h=bc32717b6fd7b453dea41e9d91637548bcaa2bd4;hp=a1ca60e4c5f018e5be41b6e4c09e94ed805e72eb;hb=268e7f336d036f77ffc9663358e9afda92b97730;hpb=1604f2ee65c57eefb7c6b3122eab2a9f32e0552d

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lreq.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lreq.ma
index a1ca60e4c..bc32717b6 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lreq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lreq.ma
@@ -29,10 +29,10 @@ lemma lreq_co_dropable_dx: co_dropable_dx lreq.
 @lexs_co_dropable_dx qed-.
 
 (* Basic_2A1: includes: lreq_drop_trans_be *)
-lemma lreq_drops_trans_next: ∀f2,L1,L2. L1 ≡[f2] L2 →
+lemma lreq_drops_trans_next: ∀f2,L1,L2. L1 ≐[f2] L2 →
                              ∀b,f,I,K2. ⬇*[b, f] L2 ≡ K2.ⓘ{I} → 𝐔⦃f⦄ →
                              ∀f1. f ~⊚ ⫯f1 ≡ f2 →
-                             ∃∃K1. ⬇*[b, f] L1 ≡ K1.ⓘ{I} & K1 ≡[f1] K2.
+                             ∃∃K1. ⬇*[b, f] L1 ≡ K1.ⓘ{I} & K1 ≐[f1] K2.
 #f2 #L1 #L2 #HL12 #b #f #I2 #K2 #HLK2 #Hf #f1 #Hf2
 elim (lexs_drops_trans_next … HL12 … HLK2 Hf … Hf2) -f2 -L2 -Hf
 #I1 #K1 #HLK1 #HK12 #H <(ceq_ext_inv_eq … H) -I2
@@ -40,19 +40,19 @@ elim (lexs_drops_trans_next … HL12 … HLK2 Hf … Hf2) -f2 -L2 -Hf
 qed-.
 
 (* Basic_2A1: includes: lreq_drop_conf_be *)
-lemma lreq_drops_conf_next: ∀f2,L1,L2. L1 ≡[f2] L2 →
+lemma lreq_drops_conf_next: ∀f2,L1,L2. L1 ≐[f2] L2 →
                             ∀b,f,I,K1. ⬇*[b, f] L1 ≡ K1.ⓘ{I} → 𝐔⦃f⦄ →
                             ∀f1. f ~⊚ ⫯f1 ≡ f2 →
-                            ∃∃K2. ⬇*[b, f] L2 ≡ K2.ⓘ{I} & K1 ≡[f1] K2.
+                            ∃∃K2. ⬇*[b, f] L2 ≡ K2.ⓘ{I} & K1 ≐[f1] K2.
 #f2 #L1 #L2 #HL12 #b #f #I1 #K1 #HLK1 #Hf #f1 #Hf2
 elim (lreq_drops_trans_next … (lreq_sym … HL12) … HLK1 … Hf2) // -f2 -L1 -Hf
 /3 width=3 by lreq_sym, ex2_intro/
 qed-.
 
-lemma drops_lreq_trans_next: ∀f1,K1,K2. K1 ≡[f1] K2 →
+lemma drops_lreq_trans_next: ∀f1,K1,K2. K1 ≐[f1] K2 →
                              ∀b,f,I,L1. ⬇*[b, f] L1.ⓘ{I} ≡ K1 →
                              ∀f2. f ~⊚ f1 ≡ ⫯f2 →
-                             ∃∃L2. ⬇*[b, f] L2.ⓘ{I} ≡ K2 & L1 ≡[f2] L2 & L1.ⓘ{I} ≡[f] L2.ⓘ{I}.
+                             ∃∃L2. ⬇*[b, f] L2.ⓘ{I} ≡ K2 & L1 ≐[f2] L2 & L1.ⓘ{I} ≐[f] L2.ⓘ{I}.
 #f1 #K1 #K2 #HK12 #b #f #I1 #L1 #HLK1 #f2 #Hf2
 elim (drops_lexs_trans_next … HK12 … HLK1 … Hf2) -f1 -K1
 /2 width=6 by cfull_lift_sn, ceq_lift_sn/