X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Frtmap_isdiv.ma;h=fa421497a194bf9d174e342f71325bb55b59bab1;hp=1b6ce598e938e4991512b6b30ffdbca2f05527cb;hb=8fdf1af656038d0245eba64ff2531bbe94ce0e9e;hpb=77c9255de3c5f7780aeacd745703a1cc76328a68 diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_isdiv.ma b/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_isdiv.ma index 1b6ce598e..fa421497a 100644 --- a/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_isdiv.ma +++ b/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_isdiv.ma @@ -79,13 +79,13 @@ qed-. (* Properties with iterated next ********************************************) lemma isdiv_nexts: ∀n,f. 𝛀❪f❫ → 𝛀❪↑*[n]f❫. -#n elim n -n /3 width=3 by isdiv_next/ +#n @(nat_ind_succ … n) -n /3 width=3 by isdiv_next/ qed. (* Inversion lemmas with iterated next **************************************) lemma isdiv_inv_nexts: ∀n,g. 𝛀❪↑*[n]g❫ → 𝛀❪g❫. -#n elim n -n /3 width=3 by isdiv_inv_next/ +#n @(nat_ind_succ … n) -n /3 width=3 by isdiv_inv_next/ qed. (* Properties with tail *****************************************************) @@ -100,5 +100,5 @@ qed. (* Properties with iterated tail ********************************************) lemma isdiv_tls: ∀n,g. 𝛀❪g❫ → 𝛀❪⫱*[n]g❫. -#n elim n -n /3 width=1 by isdiv_tl/ +#n @(nat_ind_succ … n) -n /3 width=1 by isdiv_tl/ qed.