X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Funfold%2Fltpss_ldrop.ma;h=8787d594ef82931cb82d5c0749504be29c13d0f6;hb=039f4f6db3a3c128959cd471eb78f575906e07b6;hp=4d223834e3f27030fe704461249f70e15a8b7001;hpb=6ebf3e5a09012b3349c6020fe692c3b22020684a;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/unfold/ltpss_ldrop.ma b/matita/matita/contribs/lambda_delta/basic_2/unfold/ltpss_ldrop.ma index 4d223834e..8787d594e 100644 --- a/matita/matita/contribs/lambda_delta/basic_2/unfold/ltpss_ldrop.ma +++ b/matita/matita/contribs/lambda_delta/basic_2/unfold/ltpss_ldrop.ma @@ -16,7 +16,7 @@ include "basic_2/unfold/ltpss.ma". (* PARALLEL UNFOLD ON LOCAL ENVIRONMENTS ************************************) -lemma ltpss_ldrop_conf_ge: ∀L0,L1,d1,e1. L0 [d1, e1] ▶* L1 → +lemma ltpss_ldrop_conf_ge: ∀L0,L1,d1,e1. L0 ▶* [d1, e1] L1 → ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → d1 + e1 ≤ e2 → ⇩[0, e2] L1 ≡ L2. #L0 #L1 #d1 #e1 #H elim H -L0 -L1 -d1 -e1 @@ -33,7 +33,7 @@ lemma ltpss_ldrop_conf_ge: ∀L0,L1,d1,e1. L0 [d1, e1] ▶* L1 → ] qed. -lemma ltpss_ldrop_trans_ge: ∀L1,L0,d1,e1. L1 [d1, e1] ▶* L0 → +lemma ltpss_ldrop_trans_ge: ∀L1,L0,d1,e1. L1 ▶* [d1, e1] L0 → ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → d1 + e1 ≤ e2 → ⇩[0, e2] L1 ≡ L2. #L1 #L0 #d1 #e1 #H elim H -L1 -L0 -d1 -e1 @@ -50,9 +50,9 @@ lemma ltpss_ldrop_trans_ge: ∀L1,L0,d1,e1. L1 [d1, e1] ▶* L0 → ] qed. -lemma ltpss_ldrop_conf_be: ∀L0,L1,d1,e1. L0 [d1, e1] ▶* L1 → +lemma ltpss_ldrop_conf_be: ∀L0,L1,d1,e1. L0 ▶* [d1, e1] L1 → ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 → - ∃∃L. L2 [0, d1 + e1 - e2] ▶* L & ⇩[0, e2] L1 ≡ L. + ∃∃L. L2 ▶* [0, d1 + e1 - e2] L & ⇩[0, e2] L1 ≡ L. #L0 #L1 #d1 #e1 #H elim H -L0 -L1 -d1 -e1 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H /2 width=3/ | normalize #L #I #V #L2 #e2 #HL2 #_ #He2 @@ -72,9 +72,9 @@ lemma ltpss_ldrop_conf_be: ∀L0,L1,d1,e1. L0 [d1, e1] ▶* L1 → ] qed. -lemma ltpss_ldrop_trans_be: ∀L1,L0,d1,e1. L1 [d1, e1] ▶* L0 → +lemma ltpss_ldrop_trans_be: ∀L1,L0,d1,e1. L1 ▶* [d1, e1] L0 → ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 → - ∃∃L. L [0, d1 + e1 - e2] ▶* L2 & ⇩[0, e2] L1 ≡ L. + ∃∃L. L ▶* [0, d1 + e1 - e2] L2 & ⇩[0, e2] L1 ≡ L. #L1 #L0 #d1 #e1 #H elim H -L1 -L0 -d1 -e1 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H /2 width=3/ | normalize #L #I #V #L2 #e2 #HL2 #_ #He2 @@ -94,9 +94,9 @@ lemma ltpss_ldrop_trans_be: ∀L1,L0,d1,e1. L1 [d1, e1] ▶* L0 → ] qed. -lemma ltpss_ldrop_conf_le: ∀L0,L1,d1,e1. L0 [d1, e1] ▶* L1 → +lemma ltpss_ldrop_conf_le: ∀L0,L1,d1,e1. L0 ▶* [d1, e1] L1 → ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → e2 ≤ d1 → - ∃∃L. L2 [d1 - e2, e1] ▶* L & ⇩[0, e2] L1 ≡ L. + ∃∃L. L2 ▶* [d1 - e2, e1] L & ⇩[0, e2] L1 ≡ L. #L0 #L1 #d1 #e1 #H elim H -L0 -L1 -d1 -e1 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H /2 width=3/ | /2 width=3/ @@ -112,9 +112,9 @@ lemma ltpss_ldrop_conf_le: ∀L0,L1,d1,e1. L0 [d1, e1] ▶* L1 → ] qed. -lemma ltpss_ldrop_trans_le: ∀L1,L0,d1,e1. L1 [d1, e1] ▶* L0 → +lemma ltpss_ldrop_trans_le: ∀L1,L0,d1,e1. L1 ▶* [d1, e1] L0 → ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → e2 ≤ d1 → - ∃∃L. L [d1 - e2, e1] ▶* L2 & ⇩[0, e2] L1 ≡ L. + ∃∃L. L ▶* [d1 - e2, e1] L2 & ⇩[0, e2] L1 ≡ L. #L1 #L0 #d1 #e1 #H elim H -L1 -L0 -d1 -e1 [ #d1 #e1 #L2 #e2 #H >(ldrop_inv_atom1 … H) -H /2 width=3/ | /2 width=3/