X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Flfpr_fqup.ma;h=8de2443e0a8fa5f2039a4852de426e1fa95ed634;hb=747b42f3b9aac5487047f57742f1fcf05b56b57d;hp=a0f5b490d72f0c9a3f650d10b7515fd16dcf9209;hpb=5a81feec7b8c07a43e96d772431e06bad177ed8c;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_fqup.ma index a0f5b490d..8de2443e0 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_fqup.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_fqup.ma @@ -28,3 +28,15 @@ lemma lfpr_refl: ∀h,G,T. reflexive … (lfpr h G T). lemma lfpr_pair: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ➡[h] V2 → ∀I,T. ⦃G, L.ⓑ{I}V1⦄ ⊢ ➡[h, T] L.ⓑ{I}V2. /2 width=1 by lfxs_pair/ qed. + +(* Advanced inversion lemmas ************************************************) + +lemma lfpr_inv_bind_void: ∀h,p,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ➡[h, ⓑ{p,I}V.T] L2 → + ∧∧ ⦃G, L1⦄ ⊢ ➡[h, V] L2 & ⦃G, L1.ⓧ⦄ ⊢ ➡[h, T] L2.ⓧ. +/2 width=3 by lfxs_inv_bind_void/ qed-. + +(* Advanced forward lemmas **************************************************) + +lemma lfpr_fwd_bind_dx_void: ∀h,p,I,G,L1,L2,V,T. + ⦃G, L1⦄ ⊢ ➡[h, ⓑ{p,I}V.T] L2 → ⦃G, L1.ⓧ⦄ ⊢ ➡[h, T] L2.ⓧ. +/2 width=4 by lfxs_fwd_bind_dx_void/ qed-.