X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Faaa_aaa.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Faaa_aaa.ma;h=d0cff387f7a7433c918fb9e0cf3c4eb81cfdf5af;hb=3cf712a7a75b57fb24f8dbed3f6f28d70dbf5be3;hp=4bf7888c093d531c0cfcc7a3f80b41cbcb4bd6fa;hpb=29973426e0227ee48368d1c24dc0c17bf2baef77;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_aaa.ma index 4bf7888c0..d0cff387f 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_aaa.ma @@ -19,21 +19,21 @@ include "basic_2/static/aaa.ma". (* Main properties **********************************************************) -theorem aaa_mono: ∀L,T,A1. ⦃G, L⦄ ⊢ T ⁝ A1 → ∀A2. ⦃G, L⦄ ⊢ T ⁝ A2 → A1 = A2. -#L #T #A1 #H elim H -L -T -A1 -[ #L #k #A2 #H +theorem aaa_mono: ∀G,L,T,A1. ⦃G, L⦄ ⊢ T ⁝ A1 → ∀A2. ⦃G, L⦄ ⊢ T ⁝ A2 → A1 = A2. +#G #L #T #A1 #H elim H -G -L -T -A1 +[ #G #L #k #A2 #H >(aaa_inv_sort … H) -H // -| #I1 #L #K1 #V1 #B #i #HLK1 #_ #IHA1 #A2 #H +| #I1 #G #L #K1 #V1 #B #i #HLK1 #_ #IHA1 #A2 #H elim (aaa_inv_lref … H) -H #I2 #K2 #V2 #HLK2 #HA2 lapply (ldrop_mono … HLK1 … HLK2) -L #H destruct /2 width=1/ -| #a #L #V #T #B1 #A1 #_ #_ #_ #IHA1 #A2 #H +| #a #G #L #V #T #B1 #A1 #_ #_ #_ #IHA1 #A2 #H elim (aaa_inv_abbr … H) -H /2 width=1/ -| #a #L #V1 #T1 #B1 #A1 #_ #_ #IHB1 #IHA1 #X #H +| #a #G #L #V1 #T1 #B1 #A1 #_ #_ #IHB1 #IHA1 #X #H elim (aaa_inv_abst … H) -H #B2 #A2 #HB2 #HA2 #H destruct /3 width=1/ -| #L #V1 #T1 #B1 #A1 #_ #_ #_ #IHA1 #A2 #H +| #G #L #V1 #T1 #B1 #A1 #_ #_ #_ #IHA1 #A2 #H elim (aaa_inv_appl … H) -H #B2 #_ #HA2 lapply (IHA1 … HA2) -L #H destruct // -| #L #V #T #A1 #_ #_ #_ #IHA1 #A2 #H +| #G #L #V #T #A1 #_ #_ #_ #IHA1 #A2 #H elim (aaa_inv_cast … H) -H /2 width=1/ ] qed-.