X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Flpx_aaa.ma;h=e25a5902def0f261ef4ae1ecacee3ff1af1ea717;hb=ff7754f834f937bfe2384c7703cf63f552885395;hp=f9c2374c25dce8d8dc11dd08c4db3dc584f6d56a;hpb=4720368dcf18593959c6d21484f62fb5b61f3d26;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma index f9c2374c2..e25a5902d 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_aaa.ma @@ -21,7 +21,7 @@ include "basic_2/reduction/lpx_ldrop.ma". (* Properties on atomic arity assignment for terms **************************) (* Note: lemma 500 *) -lemma aaa_cpx_lpx_conf: ∀h,g,G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → +lemma cpx_lpx_aaa_conf: ∀h,g,G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L1⦄ ⊢ T1 ➡[h, g] T2 → ∀L2. ⦃G, L1⦄ ⊢ ➡[h, g] L2 → ⦃G, L2⦄ ⊢ T2 ⁝ A. #h #g #G #L1 #T1 #A #H elim H -G -L1 -T1 -A @@ -70,14 +70,14 @@ lemma aaa_cpx_lpx_conf: ∀h,g,G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → ] qed-. -lemma aaa_cpx_conf: ∀h,g,G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡[h, g] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A. -/2 width=7 by aaa_cpx_lpx_conf/ qed-. +lemma cpx_aaa_conf: ∀h,g,G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡[h, g] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A. +/2 width=7 by cpx_lpx_aaa_conf/ qed-. -lemma aaa_lpx_conf: ∀h,g,G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → ∀L2. ⦃G, L1⦄ ⊢ ➡[h, g] L2 → ⦃G, L2⦄ ⊢ T ⁝ A. -/2 width=7 by aaa_cpx_lpx_conf/ qed-. +lemma lpx_aaa_conf: ∀h,g,G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → ∀L2. ⦃G, L1⦄ ⊢ ➡[h, g] L2 → ⦃G, L2⦄ ⊢ T ⁝ A. +/2 width=7 by cpx_lpx_aaa_conf/ qed-. -lemma aaa_cpr_conf: ∀G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L⦄ ⊢ T2 ⁝ A. -/3 width=5 by aaa_cpx_conf, cpr_cpx/ qed-. +lemma cpr_aaa_conf: ∀G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L⦄ ⊢ T2 ⁝ A. +/3 width=5 by cpx_aaa_conf, cpr_cpx/ qed-. -lemma aaa_lpr_conf: ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → ∀L2. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L2⦄ ⊢ T ⁝ A. -/3 width=5 by aaa_lpx_conf, lpr_lpx/ qed-. +lemma lpr_aaa_conf: ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A → ∀L2. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L2⦄ ⊢ T ⁝ A. +/3 width=5 by lpx_aaa_conf, lpr_lpx/ qed-.