X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Funfold%2Fthin_ldrop.ma;h=498660e1cce96750a46018f664ec731f954b0f9d;hb=7bedf1797ba168f0742194b2add69575e5d4a5cd;hp=2bb20829435c1d07d6acbc793740f7b3f785fd9d;hpb=5ea90cbbb01fe0bf3b77221d9e6c87002982621f;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/unfold/thin_ldrop.ma b/matita/matita/contribs/lambda_delta/basic_2/unfold/thin_ldrop.ma index 2bb208294..498660e1c 100644 --- a/matita/matita/contribs/lambda_delta/basic_2/unfold/thin_ldrop.ma +++ b/matita/matita/contribs/lambda_delta/basic_2/unfold/thin_ldrop.ma @@ -13,7 +13,7 @@ (**************************************************************************) include "basic_2/substitution/ldrop_ldrop.ma". -include "basic_2/unfold/ltpss_ldrop.ma". +include "basic_2/unfold/ltpss_sn_ldrop.ma". include "basic_2/unfold/thin.ma". (* BASIC LOCAL ENVIRONMENT THINNING *****************************************) @@ -23,14 +23,14 @@ include "basic_2/unfold/thin.ma". lemma thin_ldrop_conf_ge: ∀L0,L1,d1,e1. ▼*[d1, e1] L0 ≡ L1 → ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → d1 + e1 ≤ e2 → ⇩[0, e2 - e1] L1 ≡ L2. -#L0 #L1 #d1 #e1 * /3 width=8 by ltpss_ldrop_conf_ge, ldrop_conf_ge/ +#L0 #L1 #d1 #e1 * /3 width=8 by ltpss_sn_ldrop_conf_ge, ldrop_conf_ge/ qed. lemma thin_ldrop_conf_be: ∀L0,L1,d1,e1. ▼*[d1, e1] L0 ≡ L1 → ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 → ∃∃L. ▼*[0, d1 + e1 - e2] L2 ≡ L & ⇩[0, d1] L1 ≡ L. #L0 #L1 #d1 #e1 * #L #HL0 #HL1 #L2 #e2 #HL02 #Hd1e2 #He2de1 -elim (ltpss_ldrop_conf_be … HL0 … HL02 ? ?) -L0 // #L0 #HL20 #HL0 +elim (ltpss_sn_ldrop_conf_be … HL0 … HL02 ? ?) -L0 // #L0 #HL20 #HL0 elim (ldrop_conf_be … HL1 … HL0 ? ?) -L // -Hd1e2 -He2de1 /3 width=3/ qed. @@ -38,7 +38,7 @@ lemma thin_ldrop_conf_le: ∀L0,L1,d1,e1. ▼*[d1, e1] L0 ≡ L1 → ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → e2 ≤ d1 → ∃∃L. ▼*[d1 - e2, e1] L2 ≡ L & ⇩[0, e2] L1 ≡ L. #L0 #L1 #d1 #e1 * #L #HL0 #HL1 #L2 #e2 #HL02 #He2d1 -elim (ltpss_ldrop_conf_le … HL0 … HL02 ?) -L0 // #L0 #HL20 #HL0 +elim (ltpss_sn_ldrop_conf_le … HL0 … HL02 ?) -L0 // #L0 #HL20 #HL0 elim (ldrop_conf_le … HL1 … HL0 ?) -L // -He2d1 /3 width=3/ qed. @@ -47,7 +47,7 @@ lemma thin_ldrop_trans_ge: ∀L1,L0,d1,e1. ▼*[d1, e1] L1 ≡ L0 → d1 ≤ e2 → ⇩[0, e1 + e2] L1 ≡ L2. #L1 #L0 #d1 #e1 * #L #HL1 #HL0 #L2 #e2 #HL02 #Hd1e2 lapply (ldrop_trans_ge … HL0 … HL02 ?) -L0 // #HL2 -lapply (ltpss_ldrop_trans_ge … HL1 … HL2 ?) -L // /2 width=1/ +lapply (ltpss_sn_ldrop_trans_ge … HL1 … HL2 ?) -L // /2 width=1/ qed. lemma thin_ldrop_trans_le: ∀L1,L0,d1,e1. ▼*[d1, e1] L1 ≡ L0 → @@ -55,5 +55,5 @@ lemma thin_ldrop_trans_le: ∀L1,L0,d1,e1. ▼*[d1, e1] L1 ≡ L0 → ∃∃L. ▼*[d1 - e2, e1] L ≡ L2 & ⇩[0, e2] L1 ≡ L. #L1 #L0 #d1 #e1 * #L #HL1 #HL0 #L2 #e2 #HL02 #He2d1 elim (ldrop_trans_le … HL0 … HL02 He2d1) -L0 #L0 #HL0 #HL02 -elim (ltpss_ldrop_trans_le … HL1 … HL0 He2d1) -L -He2d1 /3 width=3/ +elim (ltpss_sn_ldrop_trans_le … HL1 … HL0 He2d1) -L -He2d1 /3 width=3/ qed.