X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Farith%2Fnat_minus.ma;h=d975ff3bc59cdc6b145519090877d721d9c6f9dc;hp=f386d413ae67a0c1f0b7bc72be7a2e4e5098006f;hb=19b0a814861157ba05f23877d5cd94059f52c2e8;hpb=21de0d35017656c5a55528390b54b0b2ae395b44 diff --git a/matita/matita/contribs/lambdadelta/ground/arith/nat_minus.ma b/matita/matita/contribs/lambdadelta/ground/arith/nat_minus.ma index f386d413a..d975ff3bc 100644 --- a/matita/matita/contribs/lambdadelta/ground/arith/nat_minus.ma +++ b/matita/matita/contribs/lambdadelta/ground/arith/nat_minus.ma @@ -70,6 +70,11 @@ lemma nminus_succ_sn_refl (m): ninj (𝟏) = ↑m - m. qed. (*** minus_minus_comm *) -lemma nminus_minus_comm (o) (m) (n): o - m - n = o - n - m. +lemma nminus_comm (o) (m) (n): o - m - n = o - n - m. #o #m #n @(nat_ind_succ … n) -n // -qed-. +qed. + +(*** minus_minus_comm3 *) +lemma nminus_comm_231 (n) (m1) (m2) (m3): + n-m1-m2-m3 = n-m2-m3-m1. +// qed.