# HG changeset patch # User Lars Hupel # Date 1474215839 -7200 # Node ID 6b886cadba7cfed078fe58e2910415366cf389b3 # Parent ca41b6670904e62b90f5d196069db8d7cbfe74c6 tuned diff -r ca41b6670904 -r 6b886cadba7c src/HOL/Num.thy --- a/src/HOL/Num.thy Sun Sep 18 11:31:19 2016 +0200 +++ b/src/HOL/Num.thy Sun Sep 18 18:23:59 2016 +0200 @@ -994,6 +994,8 @@ lemma numerals: "Numeral1 = (1::nat)" "2 = Suc (Suc 0)" by (rule numeral_One) (rule numeral_2_eq_2) +lemmas numeral_nat = eval_nat_numeral BitM.simps One_nat_def + text \Comparisons involving @{term Suc}.\ lemma eq_numeral_Suc [simp]: "numeral k = Suc n \ pred_numeral k = n" diff -r ca41b6670904 -r 6b886cadba7c src/HOL/ex/Primrec.thy --- a/src/HOL/ex/Primrec.thy Sun Sep 18 11:31:19 2016 +0200 +++ b/src/HOL/ex/Primrec.thy Sun Sep 18 18:23:59 2016 +0200 @@ -129,7 +129,7 @@ text \PROPERTY A 10\ lemma ack_nest_bound: "ack i1 (ack i2 j) < ack (2 + (i1 + i2)) j" -apply (simp add: numerals) +apply simp apply (rule ack2_le_ack1 [THEN [2] less_le_trans]) apply simp apply (rule le_add1 [THEN ack_le_mono1, THEN le_less_trans])