X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Flfpx_drops.ma;h=8ae0af6af4526c695809a499109e8a6322ba84a1;hb=21827c7db90ddb4fd30adec6becd94e201898f9c;hp=53b7d2e1ff0a6608f83535a4087a54e34690e50a;hpb=86d7622f88247d83b2c366a722d2994a4af91929;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_drops.ma index 53b7d2e1f..8ae0af6af 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_drops.ma @@ -34,10 +34,10 @@ lemma lfpx_drops_conf: ∀h,G. dropable_sn (cpx h G). lemma lfpx_drops_trans: ∀h,G. dropable_dx (cpx h G). /2 width=5 by lfxs_dropable_dx/ qed-. -lemma lfpx_inv_lref_sn: ∀h,G,L1,L2,i. ⦃G, L1⦄ ⊢ ⬈[h, #i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 → - ∃∃K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 & ⦃G, K1⦄ ⊢ ⬈[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ⬈[h] V2. -/2 width=3 by lfxs_inv_lref_sn/ qed-. +lemma lfpx_inv_lref_pair_sn: ∀h,G,L1,L2,i. ⦃G, L1⦄ ⊢ ⬈[h, #i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 → + ∃∃K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 & ⦃G, K1⦄ ⊢ ⬈[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ⬈[h] V2. +/2 width=3 by lfxs_inv_lref_pair_sn/ qed-. -lemma lfpx_inv_lref_dx: ∀h,G,L1,L2,i. ⦃G, L1⦄ ⊢ ⬈[h, #i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 → - ∃∃K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 & ⦃G, K1⦄ ⊢ ⬈[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ⬈[h] V2. -/2 width=3 by lfxs_inv_lref_dx/ qed-. +lemma lfpx_inv_lref_pair_dx: ∀h,G,L1,L2,i. ⦃G, L1⦄ ⊢ ⬈[h, #i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 → + ∃∃K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 & ⦃G, K1⦄ ⊢ ⬈[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ⬈[h] V2. +/2 width=3 by lfxs_inv_lref_pair_dx/ qed-.