doc-src/TutorialI/Misc/Plus.thy
author kleing
Wed, 20 Jul 2005 07:40:23 +0200
changeset 16895 df67fc190e06
parent 16417 9bc16273c2d4
child 19249 86c73395c99b
permissions -rw-r--r--
Sort search results in order of relevance, where relevance = a) better if 0 premises for intro or 1 premise for elim/dest rules b) better if substitution size wrt to current goal is smaller Only applies to intro, dest, elim, and simp (contributed by Rafal Kolanski, NICTA)

(*<*)
theory Plus imports Main begin
(*>*)

text{*\noindent Define the following addition function *}

consts plus :: "nat \<Rightarrow> nat \<Rightarrow> nat"
primrec
"plus m 0 = m"
"plus m (Suc n) = plus (Suc m) n"

text{*\noindent and prove*}
(*<*)
lemma [simp]: "!m. plus m n = m+n"
apply(induct_tac n)
by(auto)
(*>*)
lemma "plus m n = m+n"
(*<*)
by(simp)

end
(*>*)