X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FRELATIONAL%2FNPlus%2Ffun.ma;h=66847cf934fcc7c603c709bd074a2a481bf8068d;hb=a3f4c0a8b4328cb9a9fe3b4c2e577be2a258675c;hp=4b31c570f2355007ea5c4f78a83ae66eee1b63b8;hpb=b0b69bb764af48d7f022477398f0beff5fb3f3f3;p=helm.git diff --git a/matita/contribs/RELATIONAL/NPlus/fun.ma b/matita/contribs/RELATIONAL/NPlus/fun.ma index 4b31c570f..66847cf93 100644 --- a/matita/contribs/RELATIONAL/NPlus/fun.ma +++ b/matita/contribs/RELATIONAL/NPlus/fun.ma @@ -20,7 +20,7 @@ include "NPlus/inv.ma". theorem nplus_total: \forall p,q. \exists r. p + q == r. intros 2. elim q; clear q; - [ auto | decompose. auto ]. + [ autobatch | decompose. autobatch ]. qed. theorem nplus_mono: \forall p,q,r1. (p + q == r1) \to @@ -28,7 +28,7 @@ theorem nplus_mono: \forall p,q,r1. (p + q == r1) \to intros 4. elim H; clear H q r1; [ lapply linear nplus_inv_zero_2 to H1 | lapply linear nplus_inv_succ_2 to H3. decompose - ]; subst; auto. + ]; subst; autobatch. qed. theorem nplus_inj_1: \forall p1, q, r. (p1 + q == r) \to @@ -36,5 +36,5 @@ theorem nplus_inj_1: \forall p1, q, r. (p1 + q == r) \to intros 4. elim H; clear H q r; [ lapply linear nplus_inv_zero_2 to H1 | lapply linear nplus_inv_succ_2_3 to H3 - ]; auto. + ]; autobatch. qed.