X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fsubstitution%2Flift_path_closed.ma;h=e60c4fd1c7eea573e8bd1d17885dee1630ecc024;hb=ea71486fd1aab2eae2bab42729a66ae775c7f248;hp=980185f936eb6ac175c71955d73a27de44e3e47d;hpb=73cc0c523c5264f2883c25f6735be325e5cfd1da;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_closed.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_closed.ma index 980185f93..e60c4fd1c 100644 --- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_closed.ma +++ b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_closed.ma @@ -20,21 +20,21 @@ include "ground/relocation/xap.ma". (* Constructions with pcc ***************************************************) -lemma lift_path_closed (o) (f) (q) (n): - q ϵ 𝐂❨o,n❩ → 🠡[f]q ϵ 𝐂❨o,🠢[f]q@❨n❩❩. -#o #f #q #n #H0 elim H0 -q -n // +lemma lift_path_closed (o) (e) (f) (q) (n): + q ϵ 𝐂❨o,n,e❩ → 🠡[f]q ϵ 𝐂❨o,🠢[f]q@❨n❩,f@❨e❩❩. +#o #e #f #q #n #H0 elim H0 -q -n // #q #n [ #k #Ho ] #_ #IH /2 width=1 by pcc_m_dx, pcc_L_dx, pcc_A_dx, pcc_S_dx/ /4 width=1 by pcc_d_dx, tr_xap_pos/ qed. lemma lift_path_rmap_closed (o) (f) (p) (q) (n): - q ϵ 𝐂❨o,n❩ → 🠡[🠢[f]p]q ϵ 𝐂❨o,🠢[f](p●q)@❨n❩❩. + q ϵ 𝐂❨o,n,𝟎❩ → 🠡[🠢[f]p]q ϵ 𝐂❨o,🠢[f](p●q)@❨n❩,𝟎❩. /2 width=1 by lift_path_closed/ qed. lemma lift_path_rmap_closed_L (o) (f) (p) (q) (n): - q ϵ 𝐂❨o,n❩ → 🠡[🠢[f](p◖𝗟)]q ϵ 𝐂❨o,🠢[f](p●𝗟◗q)@§❨n❩❩. + q ϵ 𝐂❨o,n,𝟎❩ → 🠡[🠢[f](p◖𝗟)]q ϵ 𝐂❨o,🠢[f](p●𝗟◗q)@§❨n❩,𝟎❩. #o #f #p #q #n #Hq lapply (lift_path_closed … (🠢[f](p◖𝗟)) … Hq) #Hq0 lapply (pcc_L_sn … Hq) -Hq #Hq1