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=c5c6ade72cc63a23b7e66a659590000f3cc2e327;hp=e6db03ac46b8cccce12764f84693c9a8e461dc74;hb=21de0d35017656c5a55528390b54b0b2ae395b44;hpb=68e028d053806177e218ee1a5f8778d3011bef83 diff --git a/matita/matita/contribs/lambdadelta/ground/arith/pnat_plus.ma b/matita/matita/contribs/lambdadelta/ground/arith/pnat_plus.ma index e6db03ac4..c5c6ade72 100644 --- a/matita/matita/contribs/lambdadelta/ground/arith/pnat_plus.ma +++ b/matita/matita/contribs/lambdadelta/ground/arith/pnat_plus.ma @@ -23,7 +23,7 @@ interpretation "plus (positive integers)" 'plus p q = (pplus p q). -(* Basic rewrites ***********************************************************) +(* Basic constructions ******************************************************) lemma pplus_one_dx (p): ↑p = p + 𝟏. // qed. @@ -31,7 +31,7 @@ lemma pplus_one_dx (p): ↑p = p + 𝟏. lemma pplus_succ_dx (p) (q): ↑(p+q) = p + ↑q. // qed. -(* Advanced reweites (semigroup properties) *********************************) +(* Advanced constructions (semigroup properties) ****************************) lemma pplus_succ_sn (p) (q): ↑(p+q) = ↑p + q. #p #q @(piter_appl … psucc) @@ -43,7 +43,7 @@ qed. lemma pplus_comm: commutative … pplus. #p elim p -p // -qed. +qed-. lemma pplus_assoc: associative … pplus. #p #q #r elim r -r //