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=52f68f6ff785f36e60bba644e3b9ac7af73e1682;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=c56f1f718e3d75261543a0fce3bfad488b1d9042;hpb=f677b4ef7fa20f1ab36c5ee59598865d5c1b719b;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 c56f1f718..52f68f6ff 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 @@ -25,16 +25,16 @@ 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❫ ⊢ ⬈*[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❫. #h #G #L #V #H @(csx_ind … H) -V #V #_ #IHV #T1 #H @(csx_ind … H) -T1 #T1 #H1T1 #IHT1 #H2T1 #H3T1 @csx_intro #X #HL #H elim (cpx_inv_appl1_simple … HL) -HL // #V0 #T0 #HLV0 #HLT10 #H0 destruct -elim (tdneq_inv_pair … H) -H +elim (tneqx_inv_pair … H) -H [ #H elim H -H // | -IHT1 #HV0 @(csx_cpx_trans … (ⓐV0.T1)) /2 width=1 by cpx_flat/ -HLT10