X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_lfpx.ma;h=8c92f374235b46b64923f2acbd4b3f95537b440e;hb=43998467c5ec5f1c8e1e988fc00e3255d2723ba4;hp=b54ea1582eaf871673fec61685f90743b0876c5b;hpb=5606bd084cbbf6c187b21ee5f523fa3b313bb9de;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma index b54ea1582..8c92f3742 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma @@ -12,6 +12,7 @@ (* *) (**************************************************************************) +include "basic_2/rt_transition/lfpx_fqup.ma". include "basic_2/rt_transition/lfpx_lfpx.ma". include "basic_2/rt_computation/cpxs_drops.ma". include "basic_2/rt_computation/cpxs_cpxs.ma". @@ -53,5 +54,17 @@ qed. lemma lfpx_cpxs_trans: ∀h,G. s_rs_transitive … (cpx h G) (lfpx h G). #h #G #L2 #T1 #T2 #H #L1 #HL12 @(cpxs_ind … H) -T2 -/4 width=7 by lfpx_cpx_trans, cpxs_trans, lfpx_cpxs_conf/ +/4 width=7 by lfpx_cpx_trans, cpxs_trans, lfpx_cpxs_conf/ (**) (* lfpx_fqup slows this down *) qed-. + +(* Advanced properties ******************************************************) + +lemma cpx_bind2: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 → + ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈[h] T2 → + ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ⬈*[h] ⓑ{p,I}V2.T2. +/4 width=5 by lfpx_cpx_trans, cpxs_bind_dx, lfpx_pair/ qed. + +lemma cpxs_bind2_dx: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 → + ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈*[h] T2 → + ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ⬈*[h] ⓑ{p,I}V2.T2. +/4 width=5 by lfpx_cpxs_trans, cpxs_bind_dx, lfpx_pair/ qed.