lean2/tests/lean/run/tactic14.lean
Leonardo de Moura 6632a50015 refactor(library): add namespaces 'or', 'and' and 'iff'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-04 21:25:21 -07:00

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import logic
open tactic
definition basic_tac : tactic
:= repeat [apply @and.intro | assumption]
set_begin_end_tactic 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 :=
begin
assume Ha, or.elim H
(assume Hna, @absurd _ false Ha Hna)
(assume Hnb, @absurd _ false Hb Hnb)
end