src/Doc/Tutorial/Misc/Plus.thy
author wenzelm
Fri, 06 Dec 2013 22:10:45 +0100
changeset 54683 cf48ddc266e5
parent 48985 5386df44a037
child 67406 23307fd33906
permissions -rw-r--r--
clarified "isabelle display" and 'display_drafts': re-use file and program instance, open asynchronously via desktop environment;

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

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

primrec add :: "nat \<Rightarrow> nat \<Rightarrow> nat" where
"add m 0 = m" |
"add m (Suc n) = add (Suc m) n"

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

end
(*>*)