X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpms.ma;h=c5f0126aaeb96dbc152d55a91c6014a19ef3ab6a;hp=64215875127b70271ae305ae841247cabf71aba2;hb=25c634037771dff0138e5e8e3d4378183ff49b86;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms.ma index 642158751..c5f0126aa 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms.ma @@ -80,7 +80,7 @@ lemma cpms_appl_dx (n) (h) (G) (L): qed. lemma cpms_zeta (n) (h) (G) (L): - ∀T1,T. ⇧*[1] T ≘ T1 → + ∀T1,T. ⇧[1] T ≘ T1 → ∀V,T2. ❪G,L❫ ⊢ T ➡*[n,h] T2 → ❪G,L❫ ⊢ +ⓓV.T1 ➡*[n,h] T2. #n #h #G #L #T1 #T #HT1 #V #T2 #H @(cpms_ind_dx … H) -T2 /3 width=3 by cpms_step_dx, cpm_cpms, cpm_zeta/ @@ -88,7 +88,7 @@ qed. (* Basic_2A1: uses: cprs_zeta *) lemma cpms_zeta_dx (n) (h) (G) (L): - ∀T2,T. ⇧*[1] T2 ≘ T → + ∀T2,T. ⇧[1] T2 ≘ T → ∀V,T1. ❪G,L.ⓓV❫ ⊢ T1 ➡*[n,h] T → ❪G,L❫ ⊢ +ⓓV.T1 ➡*[n,h] T2. #n #h #G #L #T2 #T #HT2 #V #T1 #H @(cpms_ind_sn … H) -T1 /3 width=3 by cpms_step_sn, cpm_cpms, cpm_bind, cpm_zeta/ @@ -125,7 +125,7 @@ qed. (* Basic_2A1: uses: cprs_theta_dx *) lemma cpms_theta_dx (n) (h) (G) (L): ∀V1,V. ❪G,L❫ ⊢ V1 ➡[h] V → - ∀V2. ⇧*[1] V ≘ V2 → + ∀V2. ⇧[1] V ≘ V2 → ∀W1,W2. ❪G,L❫ ⊢ W1 ➡[h] W2 → ∀T1,T2. ❪G,L.ⓓW1❫ ⊢ T1 ➡*[n,h] T2 → ∀p. ❪G,L❫ ⊢ ⓐV1.ⓓ[p]W1.T1 ➡*[n,h] ⓓ[p]W2.ⓐV2.T2.