doc-src/TutorialI/Misc/Plus.thy
author wenzelm
Tue, 01 Jun 2010 17:27:38 +0200
changeset 37241 04d2521e79b0
parent 27015 f8537d69f514
permissions -rw-r--r--
basic support for sub/superscript token markup -- NB: need to maintain extended token types eagerly, since jEdit occasionally reinstalls a style array that is too short;

(*<*)
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
(*>*)