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.ma;h=341ecee8cfde5b23e00b615b04c4d3ef40673cc7;hp=97cfd31a44e5096dc744e2f55fc528193c7bb303;hb=084ea7868f6153effc18e8ee1c0e6cdb34d181c0;hpb=de3a41b9a4e51dc1b09adce800273adf5ffa1215 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm.ma index 97cfd31a4..341ecee8c 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm.ma @@ -290,22 +290,6 @@ lemma cpm_inv_cast1: ∀n,h,G,L,V1,U1,U2. ⦃G, L⦄ ⊢ ⓝV1.U1 ➡[n, h] U2 ] qed-. -(* Advanced inversion lemmas ************************************************) - -lemma cpm_inv_appl_sn_decompose (h) (n) (G) (L) (V1) (T1): - ∀X2. ⦃G,L⦄ ⊢ ⓐV1.T1 ➡[n,h] X2 → - ∃∃T2. ⦃G,L⦄ ⊢ T1 ➡[n,h] T2 & ⦃G,L⦄ ⊢ ⓐV1.T2 ➡[h] X2. -#h #n #G #L #V1 #T1 #X2 #H -elim (cpm_inv_appl1 … H) -H * -[ #V2 #T2 #HV12 #HT12 #H destruct - /3 width=3 by cpm_appl, ex2_intro/ -| #p #V2 #W1 #W2 #U1 #U2 #HV12 #HW12 #HU12 #H1 #H2 destruct - /3 width=5 by cpm_beta, cpm_bind, ex2_intro/ -| #p #V2 #V0 #W1 #W2 #U1 #U2 #HV12 #HV20 #HW12 #HU12 #H1 #H2 destruct - /3 width=5 by cpm_theta, cpm_bind, ex2_intro/ -] -qed-. - (* Basic forward lemmas *****************************************************) (* Basic_2A1: includes: cpr_fwd_bind1_minus *)