X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsubd_da.ma;h=2ccf11bad47a0f0fc87d15c502c1d13509170e6c;hb=d867d4f21d89308c02d06db83005b91241bc6171;hp=99ebd60ce4192c12f2dac2ec08467e37cd41443c;hpb=fdb2c62b58006b82c015ba70b494d50c7860e28f;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsubd_da.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsubd_da.ma index 99ebd60ce..2ccf11bad 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lsubd_da.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsubd_da.ma @@ -20,17 +20,17 @@ include "basic_2/static/lsubd.ma". (* Properties on degree assignment ******************************************) lemma lsubd_da_trans: ∀h,g,G,L2,T,l. ⦃G, L2⦄ ⊢ T ▪[h, g] l → - ∀L1. G ⊢ L1 ▪⊑[h, g] L2 → ⦃G, L1⦄ ⊢ T ▪[h, g] l. + ∀L1. G ⊢ L1 ⫃▪[h, g] L2 → ⦃G, L1⦄ ⊢ T ▪[h, g] l. #h #g #G #L2 #T #l #H elim H -G -L2 -T -l [ /2 width=1/ | #G #L2 #K2 #V #i #l #HLK2 #_ #IHV #L1 #HL12 - elim (lsubd_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1 + elim (lsubd_drop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1 elim (lsubd_inv_pair2 … H) -H * #K1 [ | -IHV -HLK1 ] [ #HK12 #H destruct /3 width=4/ | #W #l0 #_ #_ #_ #H destruct ] | #G #L2 #K2 #W #i #l #HLK2 #HW #IHW #L1 #HL12 - elim (lsubd_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1 + elim (lsubd_drop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1 elim (lsubd_inv_pair2 … H) -H * #K1 [ -HW | -IHW ] [ #HK12 #H destruct /3 width=4/ | #V #l0 #HV #H0W #_ #_ #H destruct @@ -42,11 +42,11 @@ lemma lsubd_da_trans: ∀h,g,G,L2,T,l. ⦃G, L2⦄ ⊢ T ▪[h, g] l → qed-. lemma lsubd_da_conf: ∀h,g,G,L1,T,l. ⦃G, L1⦄ ⊢ T ▪[h, g] l → - ∀L2. G ⊢ L1 ▪⊑[h, g] L2 → ⦃G, L2⦄ ⊢ T ▪[h, g] l. + ∀L2. G ⊢ L1 ⫃▪[h, g] L2 → ⦃G, L2⦄ ⊢ T ▪[h, g] l. #h #g #G #L1 #T #l #H elim H -G -L1 -T -l [ /2 width=1/ | #G #L1 #K1 #V #i #l #HLK1 #HV #IHV #L2 #HL12 - elim (lsubd_ldrop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2 + elim (lsubd_drop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2 elim (lsubd_inv_pair1 … H) -H * #K2 [ -HV | -IHV ] [ #HK12 #H destruct /3 width=4/ | #W0 #V0 #l0 #HV0 #HW0 #_ #_ #H1 #H2 destruct @@ -54,7 +54,7 @@ lemma lsubd_da_conf: ∀h,g,G,L1,T,l. ⦃G, L1⦄ ⊢ T ▪[h, g] l → lapply (da_mono … H0V0 … HV0) -H0V0 -HV0 #H destruct /2 width=4/ ] | #G #L1 #K1 #W #i #l #HLK1 #HW #IHW #L2 #HL12 - elim (lsubd_ldrop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2 + elim (lsubd_drop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2 elim (lsubd_inv_pair1 … H) -H * #K2 [ -HW | -IHW ] [ #HK12 #H destruct /3 width=4/ | #W0 #V0 #l0 #HV0 #HW0 #_ #H destruct