lean2/tests/lean/run/all_goals2.lean
2015-03-27 17:54:48 -07:00

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import data.nat
open nat
attribute nat.add [unfold-c 2]
attribute nat.rec_on [unfold-c 2]
namespace tactic
definition then_all (t1 t2 : tactic) : tactic :=
focus (t1 ; all_goals t2)
infixl `;;`:15 := tactic.then_all
end tactic
open tactic
example (a b c : nat) : (a + 0 = 0 + a ∧ b + 0 = 0 + b) ∧ c = c :=
begin
apply and.intro,
apply and.intro ;; (esimp[of_num]; state; rewrite zero_add),
apply rfl
end