X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Flpxs_aaa.ma;h=80c43c731c5b0a4347544ee8ee9ee574a3e51c44;hb=ab0d181f9a89f461a9c280f42a949a2dc2abe44c;hp=b05385da5f2b9313167e34eb682be4b29b47c2d2;hpb=ef49e0e7f5f298c299afdd3cbfdc2404ecb93879;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lpxs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lpxs_aaa.ma index b05385da5..80c43c731 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/computation/lpxs_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lpxs_aaa.ma @@ -19,13 +19,14 @@ include "basic_2/computation/lpxs.ma". (* Properties about atomic arity assignment on terms ************************) -lemma aaa_lpxs_conf: ∀h,g,L1,T,A. - L1 ⊢ T ⁝ A → ∀L2. ⦃h, L1⦄ ⊢ ➡*[g] L2 → L2 ⊢ T ⁝ A. -#h #g #L1 #T #A #HT #L2 #HL12 -@(TC_Conf3 … (λL,A. L ⊢ T ⁝ A) … HT ? HL12) /2 width=5 by aaa_lpx_conf/ +lemma aaa_lpxs_conf: ∀h,g,G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → + ∀L2. ⦃G, L1⦄ ⊢ ➡*[h, g] L2 → ⦃G, L2⦄ ⊢ T ⁝ A. +#h #g #G #L1 #T #A #HT #L2 #HL12 +@(TC_Conf3 … (λL,A. ⦃G, L⦄ ⊢ T ⁝ A) … HT ? HL12) /2 width=5 by aaa_lpx_conf/ qed-. -lemma aaa_lprs_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. L1 ⊢ ➡* L2 → L2 ⊢ T ⁝ A. -#L1 #T #A #HT #L2 #HL12 +lemma aaa_lprs_conf: ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → + ∀L2. ⦃G, L1⦄ ⊢ ➡* L2 → ⦃G, L2⦄ ⊢ T ⁝ A. +#G #L1 #T #A #HT #L2 #HL12 @(aaa_lpxs_conf … HT) -A -T /2 width=3/ qed-.