src/Doc/Tutorial/Misc/Plus.thy
author wenzelm
Wed, 19 May 2021 11:54:58 +0200
changeset 73740 c46ff0efa1ce
parent 67613 ce654b0e6d69
permissions -rw-r--r--
more direct use of latex tools: avoid diversion into "isabelle latex -o pdf" and its confusion of ISABELLE_PDFLATEX vs. ISABELLE_LUALATEX; clarified ISABELLE_MAKEINDEX options;

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

text\<open>\noindent Define the following addition function\<close>

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

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

end
(*>*)