X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fequivalence%2Fcpcs_aaa.ma;h=04de244ab96aabc5a057a0aab88d3809f8b223f0;hb=ff7754f834f937bfe2384c7703cf63f552885395;hp=ce4bf678eb0d702b5a597c52f3049fe012e47bf5;hpb=4720368dcf18593959c6d21484f62fb5b61f3d26;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma index ce4bf678e..04de244ab 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_aaa.ma @@ -19,12 +19,12 @@ include "basic_2/equivalence/cpcs_cpcs.ma". (* Main properties about atomic arity assignment on terms *******************) -theorem aaa_cpcs_mono: ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬌* T2 → +theorem cpcs_aaa_mono: ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬌* T2 → ∀A1. ⦃G, L⦄ ⊢ T1 ⁝ A1 → ∀A2. ⦃G, L⦄ ⊢ T2 ⁝ A2 → A1 = A2. #G #L #T1 #T2 #HT12 #A1 #HA1 #A2 #HA2 elim (cpcs_inv_cprs … HT12) -HT12 #T #HT1 #HT2 -lapply (aaa_cprs_conf … HA1 … HT1) -T1 #HA1 -lapply (aaa_cprs_conf … HA2 … HT2) -T2 #HA2 +lapply (cprs_aaa_conf … HA1 … HT1) -T1 #HA1 +lapply (cprs_aaa_conf … HA2 … HT2) -T2 #HA2 lapply (aaa_mono … HA1 … HA2) -L -T // qed-.