X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Flpx.ma;h=b10b13a28999b03cdba2ca9f8f805f4e8d62b672;hb=376fd7774ef0fa2f30a4afb25aab6158e3cd04b7;hp=9631b2ab284c67e19b766125d34a5feea89c341b;hpb=e4be4188d549da5fde54cdc37a6fb4eb2469c15b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx.ma index 9631b2ab2..b10b13a28 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/lpx.ma @@ -55,10 +55,6 @@ lemma lpx_pair: ∀h,g,I,G,K1,K2,V1,V2. ⦃G, K1⦄ ⊢ ➡[h, g] K2 → ⦃G, K ⦃G, K1.ⓑ{I}V1⦄ ⊢ ➡[h, g] K2.ⓑ{I}V2. /2 width=1 by lpx_sn_pair/ qed. -lemma lpx_append: ∀h,g,G,K1,K2. ⦃G, K1⦄ ⊢ ➡[h, g] K2 → ∀L1,L2. ⦃G, L1⦄ ⊢ ➡[h, g] L2 → - ⦃G, L1 @@ K1⦄ ⊢ ➡[h, g] L2 @@ K2. -/3 width=1 by lpx_sn_append, cpx_append/ qed. - lemma lpr_lpx: ∀h,g,G,L1,L2. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L1⦄ ⊢ ➡[h, g] L2. #h #g #G #L1 #L2 #H elim H -L1 -L2 /3 width=1 by lpx_pair, cpr_cpx/ qed. @@ -67,13 +63,3 @@ qed. lemma lpx_fwd_length: ∀h,g,G,L1,L2. ⦃G, L1⦄ ⊢ ➡[h, g] L2 → |L1| = |L2|. /2 width=2 by lpx_sn_fwd_length/ qed-. - -(* Advanced forward lemmas **************************************************) - -lemma lpx_fwd_append1: ∀h,g,G,K1,L1,L. ⦃G, K1 @@ L1⦄ ⊢ ➡[h, g] L → - ∃∃K2,L2. ⦃G, K1⦄ ⊢ ➡[h, g] K2 & L = K2 @@ L2. -/2 width=2 by lpx_sn_fwd_append1/ qed-. - -lemma lpx_fwd_append2: ∀h,g,G,L,K2,L2. ⦃G, L⦄ ⊢ ➡[h, g] K2 @@ L2 → - ∃∃K1,L1. ⦃G, K1⦄ ⊢ ➡[h, g] K2 & L = K1 @@ L1. -/2 width=2 by lpx_sn_fwd_append2/ qed-.