lean2/tests/lean/run/tactic14.lean
Leonardo de Moura 5eaf04518b refactor(*): rename Bool to Prop
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-22 09:43:18 -07:00

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import standard
using tactic
definition basic_tac : tactic
:= repeat [apply @and_intro | apply @not_intro | assumption]
set_proof_qed basic_tac -- basic_tac is automatically applied to each element of a proof-qed block
theorem tst (a b : Prop) (H : ¬ a ¬ b) (Hb : b) : ¬ a ∧ b :=
proof
assume Ha, or_elim H
(assume Hna, absurd Ha Hna)
(assume Hnb, absurd Hb Hnb)
qed