X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_simple.ma;h=765cc7a3c42bf96d173af3356b5c4efaef7a338b;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=95cb186f5f096b0ee9d804e72a07370d177c69c0;hpb=4173283e148199871d787c53c0301891deb90713;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma index 95cb186f5..765cc7a3c 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple.ma @@ -19,18 +19,18 @@ include "basic_2/rt_computation/csx_csx.ma". (* Properties with simple terms *********************************************) -lemma csx_appl_simple: ∀h,G,L,V. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → ∀T1. - (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.T2⦄) → - 𝐒⦃T1⦄ → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.T1⦄. +lemma csx_appl_simple: ∀h,G,L,V. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪V❫ → ∀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 #IHT1 #HT1 @csx_intro #X #H1 #H2 elim (cpx_inv_appl1_simple … H1) // -H1 #V0 #T0 #HLV0 #HLT10 #H destruct -elim (tdneq_inv_pair … H2) -H2 +elim (tneqx_inv_pair … H2) -H2 [ #H elim H -H // | #HV0 @(csx_cpx_trans … (ⓐV0.T1)) /2 width=1 by cpx_flat/ -HLT10 - @(IHV … HLV0 … HV0) -HV0 /4 width=5 by csx_cpx_trans, cpx_pair_sn/ (**) (* full auto too slow *) + @(IHV … HLV0 … HV0) -HV0 /4 width=5 by csx_cpx_trans, cpx_pair_sn/ (**) (* full auto too slow *) | -IHV -HT1 /4 width=3 by csx_cpx_trans, cpx_pair_sn/ ] qed.