X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fnta_preserve.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fnta_preserve.ma;h=ec8f6bfeae49d0cf81493483ba6ff52cc238737a;hb=cacd7323994f7621286dbfd93bbf4c50acfbe918;hp=ebc6fd96db1b50b6f73aba63dcd70f8da0c7f37d;hpb=f76594123e375bd7852c9421fe260a7bec693a92;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve.ma index ebc6fd96d..ec8f6bfea 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve.ma @@ -174,9 +174,9 @@ qed-. (* Basic_2A1: uses: nta_fwd_pure1 *) lemma nta_inv_pure_sn_cnv (h) (G) (L) (X2): - ∀V,T. ⦃G,L⦄ ⊢ ⓐV.T :*[h] X2 → - ∨∨ ∃∃p,W,U. ⦃G,L⦄ ⊢ V :*[h] W & ⦃G,L⦄ ⊢ T :*[h] ⓛ{p}W.U & ⦃G,L⦄ ⊢ ⓐV.ⓛ{p}W.U ⬌*[h] X2 & ⦃G,L⦄ ⊢ X2 !*[h] - | ∃∃U. ⦃G,L⦄ ⊢ T :*[h] U & ⦃G,L⦄ ⊢ ⓐV.U !*[h] & ⦃G,L⦄ ⊢ ⓐV.U ⬌*[h] X2 & ⦃G,L⦄ ⊢ X2 !*[h]. + ∀V,T. ⦃G,L⦄ ⊢ ⓐV.T :*[h] X2 → + ∨∨ ∃∃p,W,U. ⦃G,L⦄ ⊢ V :*[h] W & ⦃G,L⦄ ⊢ T :*[h] ⓛ{p}W.U & ⦃G,L⦄ ⊢ ⓐV.ⓛ{p}W.U ⬌*[h] X2 & ⦃G,L⦄ ⊢ X2 !*[h] + | ∃∃U. ⦃G,L⦄ ⊢ T :*[h] U & ⦃G,L⦄ ⊢ ⓐV.U !*[h] & ⦃G,L⦄ ⊢ ⓐV.U ⬌*[h] X2 & ⦃G,L⦄ ⊢ X2 !*[h]. #h #G #L #X2 #V #T #H elim (cnv_inv_cast … H) -H #X1 #HX2 #H1 #HX21 #H elim (cnv_inv_appl … H1) * [| #n ] #p #W0 #T0 #Hn #HV #HT #HW0 #HT0