X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Frelocation%2Fdrops_lex.ma;h=8db2c8830dc915f1ff681744a461ea17b054ef79;hp=1e33fc3d8c3fd292a187f38a90b3d480c7d16d50;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b 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 1e33fc3d8..8db2c8830 100644 --- 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