- eliminated thin_leading_eqs_tac
- gen_hyp_subst_tac now uses asm_lr_simp_tac instead of asm_full_simp_tac,
in order to avoid divergence of new simplifier
(*<*)
theory Plus = Main:
(*>*)
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
(*>*)