src/Doc/Tutorial/Misc/Plus.thy
author wenzelm
Sat, 23 May 2015 17:19:37 +0200
changeset 60299 5ae2a2e74c93
parent 48985 5386df44a037
child 67406 23307fd33906
permissions -rw-r--r--
clarified NEWS: document_files are officially required since Isabelle2014, but the absence was tolerated as legacy feature;

(*<*)
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
(*>*)