X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Funfold%2Fthin.ma;h=c86d9b16066cd256315e5faf7fe9bca32f1813f5;hb=fde3b3d2e6cc48f6c9880136b1a0d565e2c78c1f;hp=39d4d12c405f292063c49a67cb38ae2c3261b64b;hpb=fc5a0d62ece398d8547dda0f429b9f1e24bca306;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/unfold/thin.ma b/matita/matita/contribs/lambda_delta/basic_2/unfold/thin.ma index 39d4d12c4..c86d9b160 100644 --- a/matita/matita/contribs/lambda_delta/basic_2/unfold/thin.ma +++ b/matita/matita/contribs/lambda_delta/basic_2/unfold/thin.ma @@ -14,23 +14,23 @@ include "basic_2/unfold/ltpss.ma". -(* LOCAL ENVIRONMENT THINNING ***********************************************) +(* BASIC LOCAL ENVIRONMENT THINNING *****************************************) definition thin: nat → nat → relation lenv ≝ - λd,e,L1,L2. ∃∃L. L1 [d, e] ▶* L & ⇩[d, e] L ≡ L2. + λd,e,L1,L2. ∃∃L. L1 ▶* [d, e] L & ⇩[d, e] L ≡ L2. -interpretation "thinning (local environment)" +interpretation "basic thinning (local environment)" 'TSubst L1 d e L2 = (thin d e L1 L2). (* Basic properties *********************************************************) -lemma ldrop_thin: ∀L1,L2,d,e. ⇩[d, e] L1 ≡ L2 → L1 [d, e] ≡ L2. +lemma ldrop_thin: ∀L1,L2,d,e. ⇩[d, e] L1 ≡ L2 → L1 ▼*[d, e] ≡ L2. /2 width=3/ qed. (* Basic inversion lemmas ***************************************************) -lemma thin_inv_thin1: ∀I,K1,V1,L2,e. K1. ⓑ{I} V1 [0, e] ≡ L2 → 0 < e → - K1 [0, e - 1] ≡ L2. +lemma thin_inv_thin1: ∀I,K1,V1,L2,e. K1. ⓑ{I} V1 ▼*[0, e] ≡ L2 → 0 < e → + K1 ▼*[0, e - 1] ≡ L2. #I #K1 #V1 #L2 #e * #X #HK1 #HL2 #e elim (ltpss_inv_tpss21 … HK1 ?) -HK1 // #K #V #HK1 #_ #H destruct lapply (ldrop_inv_ldrop1 … HL2 ?) -HL2 // /2 width=3/