X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Faaa_aaa.ma;h=f6224a96ef8efe7702283ad9757e0a4ec52604bf;hp=66d0f47d9f3d7de450db97fae52d24867a80102d;hb=222044da28742b24584549ba86b1805a87def070;hpb=93bba1c94779e83184d111cd077d4167e42a74aa 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 66d0f47d9..f6224a96e 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_aaa.ma @@ -12,23 +12,22 @@ (* *) (**************************************************************************) -include "basic_2/substitution/drop_drop.ma". include "basic_2/static/aaa.ma". (* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************) -(* Main properties **********************************************************) +(* Main inversion lemmas ****************************************************) 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 #s #A2 #H - >(aaa_inv_sort … H) -H // -| #I1 #G #L #K1 #V1 #B #i #HLK1 #_ #IHA1 #A2 #H - elim (aaa_inv_lref … H) -H #I2 #K2 #V2 #HLK2 #HA2 - lapply (drop_mono … HLK1 … HLK2) -L #H destruct /2 width=1 by/ -| #a #G #L #V #T #B1 #A1 #_ #_ #_ #IHA1 #A2 #H +[ #G #L #s #A2 #H >(aaa_inv_sort … H) -H // +| #I1 #G #L #V1 #B #_ #IH #A2 #H + elim (aaa_inv_zero … H) -H #I2 #K2 #V2 #H #HA2 destruct /2 width=1 by/ +| #I1 #G #L #B #i #_ #IH #A2 #H + elim (aaa_inv_lref … H) -H #I2 #K2 #H #HA2 destruct /2 width=1 by/ +| #p #G #L #V #T #B1 #A1 #_ #_ #_ #IH #A2 #H elim (aaa_inv_abbr … H) -H /2 width=1 by/ -| #a #G #L #V1 #T1 #B1 #A1 #_ #_ #IHB1 #IHA1 #X #H +| #p #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 by eq_f2/ | #G #L #V1 #T1 #B1 #A1 #_ #_ #_ #IHA1 #A2 #H elim (aaa_inv_appl … H) -H #B2 #_ #HA2