renaming

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / i_static / tc_lfxs_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_drops.ma
index 64bb1f3f1716033206993a70091c515467fe3a87..006ca8f1a070fc8567a516b1616af2bb65e6f94f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_drops.ma
@@ -18,24 +18,24 @@ include "basic_2/i_static/tc_lfxs.ma".
 
 (* ITERATED EXTENSION ON REFERRED ENTRIES OF A CONTEXT-SENSITIVE REALTION ***)
 
-definition tc_dedropable_sn: predicate (relation3 lenv term term) ≝
-                             λR. ∀b,f,L1,K1. ⬇*[b, f] L1 ≡ K1 →
-                             ∀K2,T. K1 ⦻**[R, T] K2 → ∀U. ⬆*[f] T ≡ U →
-                             ∃∃L2. L1 ⦻**[R, U] L2 & ⬇*[b, f] L2 ≡ K2 & L1 ≡[f] L2.
+definition tc_f_dedropable_sn: predicate (relation3 lenv term term) ≝
+                               λR. ∀b,f,L1,K1. ⬇*[b, f] L1 ≘ K1 →
+                               ∀K2,T. K1 ⪤**[R, T] K2 → ∀U. ⬆*[f] T ≘ U →
+                               ∃∃L2. L1 ⪤**[R, U] L2 & ⬇*[b, f] L2 ≘ K2 & L1 ≡[f] L2.
 
-definition tc_dropable_sn: predicate (relation3 lenv term term) ≝
-                           λR. ∀b,f,L1,K1. ⬇*[b, f] L1 ≡ K1 → 𝐔⦃f⦄ →
-                           ∀L2,U. L1 ⦻**[R, U] L2 → ∀T. ⬆*[f] T ≡ U →
-                           ∃∃K2. K1 ⦻**[R, T] K2 & ⬇*[b, f] L2 ≡ K2.
+definition tc_f_dropable_sn: predicate (relation3 lenv term term) ≝
+                             λR. ∀b,f,L1,K1. ⬇*[b, f] L1 ≘ K1 → 𝐔⦃f⦄ →
+                             ∀L2,U. L1 ⪤**[R, U] L2 → ∀T. ⬆*[f] T ≘ U →
+                             ∃∃K2. K1 ⪤**[R, T] K2 & ⬇*[b, f] L2 ≘ K2.
 
-definition tc_dropable_dx: predicate (relation3 lenv term term) ≝
-                           λR. ∀L1,L2,U. L1 ⦻**[R, U] L2 →
-                           ∀b,f,K2. ⬇*[b, f] L2 ≡ K2 → 𝐔⦃f⦄ → ∀T. ⬆*[f] T ≡ U →
-                           ∃∃K1. ⬇*[b, f] L1 ≡ K1 & K1 ⦻**[R, T] K2.
+definition tc_f_dropable_dx: predicate (relation3 lenv term term) ≝
+                             λR. ∀L1,L2,U. L1 ⪤**[R, U] L2 →
+                             ∀b,f,K2. ⬇*[b, f] L2 ≘ K2 → 𝐔⦃f⦄ → ∀T. ⬆*[f] T ≘ U →
+                             ∃∃K1. ⬇*[b, f] L1 ≘ K1 & K1 ⪤**[R, T] K2.
 
 (* Properties with generic slicing for local environments *******************)
 
-lemma dedropable_sn_LTC: ∀R. dedropable_sn R → tc_dedropable_sn R.
+lemma dedropable_sn_CTC: ∀R. f_dedropable_sn R → tc_f_dedropable_sn R.
 #R #HR #b #f #L1 #K1 #HLK1 #K2 #T #H elim H -K2
 [ #K2 #HK12 #U #HTU elim (HR … HLK1 … HK12 … HTU) -K1 -T -HR
   /3 width=4 by ex3_intro, inj/
@@ -48,7 +48,7 @@ qed-.
 
 (* Inversion lemmas with generic slicing for local environments *************)
 
-lemma dropable_sn_LTC: ∀R. dropable_sn R → tc_dropable_sn R.
+lemma dropable_sn_CTC: ∀R. f_dropable_sn R → tc_f_dropable_sn R.
 #R #HR #b #f #L1 #K1 #HLK1 #Hf #L2 #U #H elim H -L2
 [ #L2 #HL12 #T #HTU elim (HR … HLK1 … HL12 … HTU) -L1 -U -HR
   /3 width=3 by inj, ex2_intro/
@@ -59,7 +59,7 @@ lemma dropable_sn_LTC: ∀R. dropable_sn R → tc_dropable_sn R.
 ]
 qed-.
 
-lemma dropable_dx_LTC: ∀R. dropable_dx R → tc_dropable_dx R.
+lemma dropable_dx_CTC: ∀R. f_dropable_dx R → tc_f_dropable_dx R.
 #R #HR #L1 #L2 #U #H elim H -L2
 [ #L2 #HL12 #b #f #K2 #HLK2 #Hf #T #HTU
   elim (HR … HL12 … HLK2 … HTU) -L2 -U -HR