author | nipkow |
Wed, 19 Feb 2025 09:26:48 +0100 | |
changeset 82196 | 0b090cfce4e8 |
parent 82195 | d818267e7821 |
child 82197 | 52290d6ab92d |
src/HOL/Nat.thy | file | annotate | diff | comparison | revisions |
--- a/src/HOL/Nat.thy Tue Feb 18 19:59:42 2025 +0100 +++ b/src/HOL/Nat.thy Wed Feb 19 09:26:48 2025 +0100 @@ -1534,8 +1534,7 @@ lemma funpow_mono: "mono f \<Longrightarrow> A \<le> B \<Longrightarrow> (f ^^ n) A \<le> (f ^^ n) B" for f :: "'a \<Rightarrow> ('a::order)" - by (induct n arbitrary: A B) - (auto simp del: funpow.simps(2) simp add: funpow_Suc_right mono_def) + by (induct n) (auto simp: mono_def) lemma funpow_mono2: assumes "mono f"