X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Flfpr.ma;h=072675fba2805f0c45f796db4d02ac611009e58a;hb=397413c4196f84c81d61ba7dd79b54ab1c428ebb;hp=92ff748bd22b4f09308dd05c10611b542e5682c2;hpb=24ba1bb3f67505d3e384747ff90d26d3996bd3f5;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr.ma index 92ff748bd..072675fba 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr.ma @@ -39,7 +39,7 @@ lemma lfpr_pair: ∀h,I,G,L1,L2,V1,V2. ⦃G, L1⦄ ⊢ ➡[h, V1] L2 → /2 width=1 by lfxs_pair/ qed. lemma lfpr_lref: ∀h,I1,I2,G,L1,L2,i. - ⦃G, L1⦄ ⊢ ➡[h, #i] L2 → ⦃G, L1.ⓘ{I1}⦄ ⊢ ➡[h, #⫯i] L2.ⓘ{I2}. + ⦃G, L1⦄ ⊢ ➡[h, #i] L2 → ⦃G, L1.ⓘ{I1}⦄ ⊢ ➡[h, #↑i] L2.ⓘ{I2}. /2 width=1 by lfxs_lref/ qed. lemma lfpr_gref: ∀h,I1,I2,G,L1,L2,l. @@ -75,7 +75,7 @@ lemma lfpr_inv_zero: ∀h,G,Y1,Y2. ⦃G, Y1⦄ ⊢ ➡[h, #0] Y2 → Y1 = L1.ⓑ{I}V1 & Y2 = L2.ⓑ{I}V2. /2 width=1 by lfxs_inv_zero/ qed-. *) -lemma lfpr_inv_lref: ∀h,G,Y1,Y2,i. ⦃G, Y1⦄ ⊢ ➡[h, #⫯i] Y2 → +lemma lfpr_inv_lref: ∀h,G,Y1,Y2,i. ⦃G, Y1⦄ ⊢ ➡[h, #↑i] Y2 → ∨∨ Y1 = ⋆ ∧ Y2 = ⋆ | ∃∃I1,I2,L1,L2. ⦃G, L1⦄ ⊢ ➡[h, #i] L2 & Y1 = L1.ⓘ{I1} & Y2 = L2.ⓘ{I2}. @@ -115,11 +115,11 @@ lemma lfpr_inv_zero_pair_dx: ∀h,I,G,Y1,L2,V2. ⦃G, Y1⦄ ⊢ ➡[h, #0] L2. Y1 = L1.ⓑ{I}V1. /2 width=1 by lfxs_inv_zero_pair_dx/ qed-. -lemma lfpr_inv_lref_bind_sn: ∀h,I1,G,Y2,L1,i. ⦃G, L1.ⓘ{I1}⦄ ⊢ ➡[h, #⫯i] Y2 → +lemma lfpr_inv_lref_bind_sn: ∀h,I1,G,Y2,L1,i. ⦃G, L1.ⓘ{I1}⦄ ⊢ ➡[h, #↑i] Y2 → ∃∃I2,L2. ⦃G, L1⦄ ⊢ ➡[h, #i] L2 & Y2 = L2.ⓘ{I2}. /2 width=2 by lfxs_inv_lref_bind_sn/ qed-. -lemma lfpr_inv_lref_bind_dx: ∀h,I2,G,Y1,L2,i. ⦃G, Y1⦄ ⊢ ➡[h, #⫯i] L2.ⓘ{I2} → +lemma lfpr_inv_lref_bind_dx: ∀h,I2,G,Y1,L2,i. ⦃G, Y1⦄ ⊢ ➡[h, #↑i] L2.ⓘ{I2} → ∃∃I1,L1. ⦃G, L1⦄ ⊢ ➡[h, #i] L2 & Y1 = L1.ⓘ{I1}. /2 width=2 by lfxs_inv_lref_bind_dx/ qed-.