X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Faaa_aaa.ma;h=2c6d530dbc33a73de12652b612cbea7d83f977c6;hb=5a35a42e23b2f343f0241eeb6648bf05f31720db;hp=fce1c02e4940790e506e3b63a1680bcb0d589c39;hpb=f16bbb93ecb40fa40f736e0b1158e1c7676a640a;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 fce1c02e4..2c6d530db 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_aaa.ma @@ -12,28 +12,28 @@ (* *) (**************************************************************************) -include "basic_2/relocation/ldrop_ldrop.ma". +include "basic_2/substitution/drop_drop.ma". include "basic_2/static/aaa.ma". (* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************) (* Main properties **********************************************************) -theorem aaa_mono: ∀L,T,A1. L ⊢ T ⁝ A1 → ∀A2. 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 + lapply (drop_mono … HLK1 … HLK2) -L #H destruct /2 width=1/ +| #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-.