some restyling ...

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / relocation / drops_lex.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_lex.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_lex.ma
index 1e33fc3d8c3fd292a187f38a90b3d480c7d16d50..8db2c8830dc915f1ff681744a461ea17b054ef79 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_lex.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_lex.ma
@@ -19,16 +19,16 @@ include "static_2/relocation/drops_sex.ma".
 (* GENERIC SLICING FOR LOCAL ENVIRONMENTS ***********************************)
 
 definition dedropable_sn: predicate … ≝
-                          λR. ∀b,f,L1,K1. ⬇*[b, f] L1 ≘ K1 → ∀K2. K1 ⪤[R] K2 →
-                          ∃∃L2. L1 ⪤[R] L2 & ⬇*[b, f] L2 ≘ K2 & L1 ≡[f] L2.
+                          λR. ∀b,f,L1,K1. ⬇*[b,f] L1 ≘ K1 → ∀K2. K1 ⪤[R] K2 →
+                          ∃∃L2. L1 ⪤[R] L2 & ⬇*[b,f] L2 ≘ K2 & L1 ≡[f] L2.
 
 definition dropable_sn: predicate … ≝
-                        λR. ∀b,f,L1,K1. ⬇*[b, f] L1 ≘ K1 → 𝐔⦃f⦄ → ∀L2. L1 ⪤[R] L2 →
-                        ∃∃K2. K1 ⪤[R] K2 & ⬇*[b, f] L2 ≘ K2.
+                        λR. ∀b,f,L1,K1. ⬇*[b,f] L1 ≘ K1 → 𝐔⦃f⦄ → ∀L2. L1 ⪤[R] L2 →
+                        ∃∃K2. K1 ⪤[R] K2 & ⬇*[b,f] L2 ≘ K2.
 
 definition dropable_dx: predicate … ≝
-                        λR. ∀L1,L2. L1 ⪤[R] L2 → ∀b,f,K2. ⬇*[b, f] L2 ≘ K2 → 𝐔⦃f⦄ →
-                        ∃∃K1. ⬇*[b, f] L1 ≘ K1 & K1 ⪤[R] K2.
+                        λR. ∀L1,L2. L1 ⪤[R] L2 → ∀b,f,K2. ⬇*[b,f] L2 ≘ K2 → 𝐔⦃f⦄ →
+                        ∃∃K1. ⬇*[b,f] L1 ≘ K1 & K1 ⪤[R] K2.
 
 (* Properties with generic extension ****************************************)
 
@@ -58,8 +58,8 @@ qed-.
 
 (* Basic_2A1: includes: lpx_sn_drop_conf *)
 lemma lex_drops_conf_pair (R): ∀L1,L2. L1 ⪤[R] L2 →
-                               ∀b,f,I,K1,V1. ⬇*[b, f] L1 ≘ K1.ⓑ{I}V1 → 𝐔⦃f⦄ →
-                               ∃∃K2,V2. ⬇*[b, f] L2 ≘ K2.ⓑ{I}V2 & K1 ⪤[R] K2 & R K1 V1 V2.
+                               ∀b,f,I,K1,V1. ⬇*[b,f] L1 ≘ K1.ⓑ{I}V1 → 𝐔⦃f⦄ →
+                               ∃∃K2,V2. ⬇*[b,f] L2 ≘ K2.ⓑ{I}V2 & K1 ⪤[R] K2 & R K1 V1 V2.
 #R #L1 #L2 * #f2 #Hf2 #HL12 #b #f #I #K1 #V1 #HLK1 #Hf
 elim (sex_drops_conf_push … HL12 … HLK1 Hf f2) -L1 -Hf
 [ #Z2 #K2 #HLK2 #HK12 #H
@@ -71,8 +71,8 @@ qed-.
 
 (* Basic_2A1: includes: lpx_sn_drop_trans *)
 lemma lex_drops_trans_pair (R): ∀L1,L2. L1 ⪤[R] L2 →
-                                ∀b,f,I,K2,V2. ⬇*[b, f] L2 ≘ K2.ⓑ{I}V2 → 𝐔⦃f⦄ →
-                                ∃∃K1,V1. ⬇*[b, f] L1 ≘ K1.ⓑ{I}V1 & K1 ⪤[R] K2 & R K1 V1 V2.
+                                ∀b,f,I,K2,V2. ⬇*[b,f] L2 ≘ K2.ⓑ{I}V2 → 𝐔⦃f⦄ →
+                                ∃∃K1,V1. ⬇*[b,f] L1 ≘ K1.ⓑ{I}V1 & K1 ⪤[R] K2 & R K1 V1 V2.
 #R #L1 #L2 * #f2 #Hf2 #HL12 #b #f #I #K2 #V2 #HLK2 #Hf
 elim (sex_drops_trans_push … HL12 … HLK2 Hf f2) -L2 -Hf
 [ #Z1 #K1 #HLK1 #HK12 #H