X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpm_simple.ma;h=3b81e99bdb6a2470bb24f3dc6bb989bc397ff8b3;hp=33bd855b6b38bac50f7f8072eacd99571cbb0c6c;hb=ca7327c20c6031829fade8bb84a3a1bb66113f54;hpb=25c634037771dff0138e5e8e3d4378183ff49b86 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_simple.ma index 33bd855b6..3b81e99bd 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_simple.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_simple.ma @@ -20,10 +20,10 @@ include "basic_2/rt_transition/cpm.ma". (* Properties with simple terms *********************************************) (* Basic_2A1: includes: cpr_inv_appl1_simple *) -lemma cpm_inv_appl1_simple: ∀n,h,G,L,V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ➡[n,h] U → 𝐒❪T1❫ → - ∃∃V2,T2. ❪G,L❫ ⊢ V1 ➡[h] V2 & ❪G,L❫ ⊢ T1 ➡[n,h] T2 & +lemma cpm_inv_appl1_simple: ∀h,n,G,L,V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ➡[h,n] U → 𝐒❪T1❫ → + ∃∃V2,T2. ❪G,L❫ ⊢ V1 ➡[h,0] V2 & ❪G,L❫ ⊢ T1 ➡[h,n] T2 & U = ⓐV2.T2. -#n #h #G #L #V1 #T1 #U * #c #Hc #H #HT1 elim (cpg_inv_appl1_simple … H HT1) -H -HT1 +#h #n #G #L #V1 #T1 #U * #c #Hc #H #HT1 elim (cpg_inv_appl1_simple … H HT1) -H -HT1 #cV #cT #V2 #T2 #HV12 #HT12 #H1 #H2 destruct elim (isrt_inv_max … Hc) -Hc #nV #nT #HnV #HnT #H destruct elim (isrt_inv_shift … HnV) -HnV #HnV #H destruct /3 width=5 by ex3_2_intro, ex2_intro/