X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fstatic%2Fsta_lift.ma;h=45465cbceccdca91251d1ea000cea6ef7005dacb;hb=fde3b3d2e6cc48f6c9880136b1a0d565e2c78c1f;hp=1c624e145703e21438d5243469e004f88541352a;hpb=1efc4c2c7be1e4aff0ccccabf905d45795b3865f;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/static/sta_lift.ma b/matita/matita/contribs/lambda_delta/basic_2/static/sta_lift.ma index 1c624e145..45465cbce 100644 --- a/matita/matita/contribs/lambda_delta/basic_2/static/sta_lift.ma +++ b/matita/matita/contribs/lambda_delta/basic_2/static/sta_lift.ma @@ -53,9 +53,8 @@ lemma sta_lift: ∀h,L1,T1,U1. ⦃h, L1⦄ ⊢ T1 • U1 → ∀L2,d,e. ⇩[d, e elim (lift_inv_flat1 … H1) -H1 #V2 #T2 #HV12 #HT12 #H destruct elim (lift_inv_flat1 … H2) -H2 #X #U2 #H1 #HU12 #H2 destruct lapply (lift_mono … H1 … HV12) -H1 #H destruct /4 width=5/ -| #L1 #T1 #U1 #_ #IHTU1 #L2 #d #e #HL21 #X #H #U2 #HU12 - elim (lift_inv_flat1 … H) -H #X2 #T2 #HUX2 #HT12 #H destruct - lapply (lift_mono … HUX2 … HU12) -HUX2 #H destruct /3 width=5/ +| #L1 #W1 #T1 #U1 #_ #IHTU1 #L2 #d #e #HL21 #X #H #U2 #HU12 + elim (lift_inv_flat1 … H) -H #W2 #T2 #_ #HT12 #H destruct /3 width=5/ ] qed. @@ -96,10 +95,9 @@ lemma sta_inv_lift: ∀h,L2,T2,U2. ⦃h, L2⦄ ⊢ T2 • U2 → ∀L1,d,e. ⇩[ | #L2 #V2 #T2 #U2 #_ #IHTU2 #L1 #d #e #HL21 #X #H elim (lift_inv_flat2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct elim (IHTU2 … HL21 … HT12) -L2 -HT12 /3 width=5/ -| #L2 #T2 #U2 #_ #IHTU2 #L1 #d #e #HL21 #X #H - elim (lift_inv_flat2 … H) -H #U1 #T1 #HU12 #HT12 #H destruct - elim (IHTU2 … HL21 … HT12) -L2 -HT12 #U0 #HTU0 #HU02 - lapply (lift_inj … HU02 … HU12) -HU02 #H destruct /3 width=3/ +| #L2 #W2 #T2 #U2 #_ #IHTU2 #L1 #d #e #HL21 #X #H + elim (lift_inv_flat2 … H) -H #W1 #T1 #_ #HT12 #H destruct + elim (IHTU2 … HL21 … HT12) -L2 -HT12 /3 width=3/ ] qed. @@ -117,6 +115,6 @@ lemma sta_fwd_correct: ∀h,L,T,U. ⦃h, L⦄ ⊢ T • U → ∃T0. ⦃h, L⦄ elim (lift_total V 0 (i+1)) /3 width=10/ | #I #L #V #T #U #_ * /3 width=2/ | #L #V #T #U #_ * #T0 #HUT0 /3 width=2/ -| #L #T #U #_ * /2 width=2/ +| #L #W #T #U #_ * /2 width=2/ ] qed-.