# HG changeset patch # User paulson # Date 1523635257 -3600 # Node ID 06bce659d41bdbe05f5ec799f32969d347c12931 # Parent 9ecc78bcf1efa72c17408640efb6de213b8ad02f# Parent 557ea2740125b35d5fbcf6cc4ad7419134b789f1 merged diff -r 557ea2740125 -r 06bce659d41b src/HOL/List.thy --- a/src/HOL/List.thy Fri Apr 13 15:58:27 2018 +0100 +++ b/src/HOL/List.thy Fri Apr 13 17:00:57 2018 +0100 @@ -4962,6 +4962,9 @@ "(\x y. P x y \ Q x y) \ sorted_wrt P xs \ sorted_wrt Q xs" by(induction xs rule: induct_list012)(auto) +lemma sorted_wrt01: "length xs \ 1 \ sorted_wrt P xs" +by(auto simp: le_Suc_eq length_Suc_conv) + text \Strictly Ascending Sequences of Natural Numbers\ lemma sorted_wrt_upt[simp]: "sorted_wrt (<) [0..