X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Fcpxs_aaa.ma;h=e4afd5b507506b0a623b6c25f4e5f6f4b52a6bed;hb=ff7754f834f937bfe2384c7703cf63f552885395;hp=4f054eac648090064e606d2cc273da78d757969a;hpb=4720368dcf18593959c6d21484f62fb5b61f3d26;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_aaa.ma index 4f054eac6..e4afd5b50 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_aaa.ma @@ -19,11 +19,11 @@ include "basic_2/computation/cpxs.ma". (* Properties about atomic arity assignment on terms ************************) -lemma aaa_cpxs_conf: ∀h,g,G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → +lemma cpxs_aaa_conf: ∀h,g,G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A. #h #g #G #L #T1 #A #HT1 #T2 #HT12 -@(TC_Conf3 … HT1 ? HT12) -A -T1 -T2 /2 width=5 by aaa_cpx_conf/ +@(TC_Conf3 … HT1 ? HT12) -A -T1 -T2 /2 width=5 by cpx_aaa_conf/ qed-. -lemma aaa_cprs_conf: ∀G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T2 ⁝ A. -/3 width=5 by aaa_cpxs_conf, cprs_cpxs/ qed-. +lemma cprs_aaa_conf: ∀G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T2 ⁝ A. +/3 width=5 by cpxs_aaa_conf, cprs_cpxs/ qed-.