X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba_ldrop.ma;h=05afc6ebd5816d83b7194858c00d170183b112d3;hb=2a91f2b3a85bc0e89c942823b741cf243db5875d;hp=b32e6ba93913fc6902d836e4cc250c9414a86363;hpb=bdfd9f6ada4c66f67c674abc3c7b5ed64d27add3;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_ldrop.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_ldrop.ma index b32e6ba93..05afc6ebd 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_ldrop.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_ldrop.ma @@ -19,18 +19,18 @@ include "basic_2/static/lsuba.ma". (* Properties concerning basic local environment slicing ********************) (* Note: the constant 0 cannot be generalized *) -lemma lsuba_ldrop_O1_conf: ∀L1,L2. L1 ⁝⊑ L2 → ∀K1,e. ⇩[0, e] L1 ≡ K1 → - ∃∃K2. K1 ⁝⊑ K2 & ⇩[0, e] L2 ≡ K2. -#L1 #L2 #H elim H -L1 -L2 +lemma lsuba_ldrop_O1_conf: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → ∀K1,e. ⇩[0, e] L1 ≡ K1 → + ∃∃K2. G ⊢ K1 ⁝⊑ K2 & ⇩[0, e] L2 ≡ K2. +#G #L1 #L2 #H elim H -L1 -L2 [ /2 width=3/ | #I #L1 #L2 #V #_ #IHL12 #K1 #e #H elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK1 [ destruct - elim (IHL12 L1 0 ?) -IHL12 // #X #HL12 #H + elim (IHL12 L1 0) -IHL12 // #X #HL12 #H <(ldrop_inv_O2 … H) in HL12; -H /3 width=3/ | elim (IHL12 … HLK1) -L1 /3 width=3/ ] -| #L1 #L2 #V #W #A #HV #HW #_ #IHL12 #K1 #e #H +| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K1 #e #H elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK1 [ destruct elim (IHL12 L1 0) -IHL12 // #X #HL12 #H @@ -41,9 +41,9 @@ lemma lsuba_ldrop_O1_conf: ∀L1,L2. L1 ⁝⊑ L2 → ∀K1,e. ⇩[0, e] L1 ≡ qed-. (* Note: the constant 0 cannot be generalized *) -lemma lsuba_ldrop_O1_trans: ∀L1,L2. L1 ⁝⊑ L2 → ∀K2,e. ⇩[0, e] L2 ≡ K2 → - ∃∃K1. K1 ⁝⊑ K2 & ⇩[0, e] L1 ≡ K1. -#L1 #L2 #H elim H -L1 -L2 +lemma lsuba_ldrop_O1_trans: ∀G,L1,L2. G ⊢ L1 ⁝⊑ L2 → ∀K2,e. ⇩[0, e] L2 ≡ K2 → + ∃∃K1. G ⊢ K1 ⁝⊑ K2 & ⇩[0, e] L1 ≡ K1. +#G #L1 #L2 #H elim H -L1 -L2 [ /2 width=3/ | #I #L1 #L2 #V #_ #IHL12 #K2 #e #H elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK2 @@ -52,7 +52,7 @@ lemma lsuba_ldrop_O1_trans: ∀L1,L2. L1 ⁝⊑ L2 → ∀K2,e. ⇩[0, e] L2 ≡ <(ldrop_inv_O2 … H) in HL12; -H /3 width=3/ | elim (IHL12 … HLK2) -L2 /3 width=3/ ] -| #L1 #L2 #V #W #A #HV #HW #_ #IHL12 #K2 #e #H +| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K2 #e #H elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK2 [ destruct elim (IHL12 L2 0) -IHL12 // #X #HL12 #H