X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_simple_teqo.ma;h=12815d38ec76516aba51343af588f354562d4375;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=70ee928ffdf951c5c0507c856da9989ab0afc452;hpb=adb9ba187619cea977d1d22971eba27eb437cd6a;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_teqo.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_teqo.ma index 70ee928ff..12815d38e 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_teqo.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_teqo.ma @@ -25,9 +25,9 @@ include "basic_2/rt_computation/csx_csx.ma". (* Basic_1: was just: sn3_appl_appl *) (* Basic_2A1: was: csx_appl_simple_tsts *) lemma csx_appl_simple_teqo (h) (G) (L): - ∀V. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → ∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → - (∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ⩳ T2 → ⊥) → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.T2⦄) → - 𝐒⦃T1⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.T1⦄. + ∀V. ❪G,L❫ ⊢ ⬈*𝐒[h] V → ∀T1. ❪G,L❫ ⊢ ⬈*𝐒[h] T1 → + (∀T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 → (T1 ⩳ T2 → ⊥) → ❪G,L❫ ⊢ ⬈*𝐒[h] ⓐV.T2) → + 𝐒❪T1❫ → ❪G,L❫ ⊢ ⬈*𝐒[h] ⓐV.T1. #h #G #L #V #H @(csx_ind … H) -V #V #_ #IHV #T1 #H @(csx_ind … H) -T1 #T1 #H1T1 #IHT1 #H2T1 #H3T1