X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Farith%2Fpnat_plus.ma;h=53d5236f340fa4d455dcb2fa7eda3c904b00f390;hp=eead7943bb2a50d4859b90c3cb6ff2aad0719f63;hb=5e72e41f4f86814e56d4b00959ccc56c71042a4c;hpb=74c6905907b0bca229366d52450e2a6982b5b8be diff --git a/matita/matita/contribs/lambdadelta/ground/arith/pnat_plus.ma b/matita/matita/contribs/lambdadelta/ground/arith/pnat_plus.ma index eead7943b..53d5236f3 100644 --- a/matita/matita/contribs/lambdadelta/ground/arith/pnat_plus.ma +++ b/matita/matita/contribs/lambdadelta/ground/arith/pnat_plus.ma @@ -14,7 +14,7 @@ include "ground/arith/pnat_iter.ma". -(* POSITIVE INTEGERS ********************************************************) +(* ADDITION FOR POSITIVE INTEGERS *******************************************) definition pplus: pnat → pnat → pnat ≝ λp,q. psucc^q p. @@ -31,7 +31,7 @@ lemma pplus_one_dx (p): ↑p = p + 𝟏. lemma pplus_succ_dx (p) (q): ↑(p+q) = p + ↑q. // qed. -(* Semigroup properties *****************************************************) +(* Advanced reweites (semigroup properties) *********************************) lemma pplus_succ_sn (p) (q): ↑(p+q) = ↑p + q. #p #q @(piter_appl … psucc)