2014-09-15 23:07:23 +00:00
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-- BEGINSET
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-- ENDSET
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-- BEGINWAIT
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-- ENDWAIT
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-- BEGINFINDP
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2016-01-01 21:52:42 +00:00
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bool.tt_bxor_tt|eq (bool.bxor bool.tt bool.tt) bool.ff
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bool.tt_bxor_ff|eq (bool.bxor bool.tt bool.ff) bool.tt
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2016-06-01 02:14:42 +00:00
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bool.bor_tt|∀ a, eq (bool.bor a bool.tt) bool.tt
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bool.band_tt|∀ a, eq (bool.band a bool.tt) a
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2014-09-15 23:07:23 +00:00
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bool.tt|bool
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2016-06-01 02:14:42 +00:00
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bool.bxor_tt|∀ a, eq (bool.bxor a bool.tt) (bool.bnot a)
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2015-07-06 22:05:01 +00:00
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bool.eq_tt_of_bnot_eq_ff|eq (bool.bnot ?a) bool.ff → eq ?a bool.tt
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bool.eq_ff_of_bnot_eq_tt|eq (bool.bnot ?a) bool.tt → eq ?a bool.ff
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2016-01-01 21:52:42 +00:00
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bool.ff_bxor_tt|eq (bool.bxor bool.ff bool.tt) bool.tt
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2015-03-05 02:05:12 +00:00
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bool.absurd_of_eq_ff_of_eq_tt|eq ?a bool.ff → eq ?a bool.tt → ?B
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bool.eq_tt_of_ne_ff|ne ?a bool.ff → eq ?a bool.tt
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2015-12-14 02:22:51 +00:00
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tactic.with_attributes_tac|tactic.expr → tactic.identifier_list → tactic → tactic
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2016-06-01 02:14:42 +00:00
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bool.tt_band|∀ a, eq (bool.band bool.tt a) a
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bool.cond_tt|∀ t e, eq (bool.cond bool.tt t e) t
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2015-03-29 19:41:46 +00:00
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bool.ff_ne_tt|eq bool.ff bool.tt → false
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2015-03-05 02:05:12 +00:00
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bool.eq_ff_of_ne_tt|ne ?a bool.tt → eq ?a bool.ff
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2016-06-01 02:14:42 +00:00
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bool.tt_bxor|∀ a, eq (bool.bxor bool.tt a) (bool.bnot a)
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bool.tt_bor|∀ a, eq (bool.bor bool.tt a) bool.tt
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2014-09-15 23:07:23 +00:00
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-- ENDFINDP
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-- BEGINWAIT
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-- ENDWAIT
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-- BEGINFINDP
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tt|bool
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2016-06-01 02:14:42 +00:00
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tt_bor|∀ a, eq (bor tt a) tt
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tt_band|∀ a, eq (band tt a) a
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tt_bxor|∀ a, eq (bxor tt a) (bnot a)
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2016-01-01 21:52:42 +00:00
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tt_bxor_tt|eq (bxor tt tt) ff
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tt_bxor_ff|eq (bxor tt ff) tt
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2016-06-01 02:14:42 +00:00
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bor_tt|∀ a, eq (bor a tt) tt
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band_tt|∀ a, eq (band a tt) a
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bxor_tt|∀ a, eq (bxor a tt) (bnot a)
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2015-07-06 22:05:01 +00:00
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eq_tt_of_bnot_eq_ff|eq (bnot ?a) ff → eq ?a tt
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eq_ff_of_bnot_eq_tt|eq (bnot ?a) tt → eq ?a ff
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2016-01-01 21:52:42 +00:00
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ff_bxor_tt|eq (bxor ff tt) tt
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2015-03-05 02:05:12 +00:00
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absurd_of_eq_ff_of_eq_tt|eq ?a ff → eq ?a tt → ?B
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eq_tt_of_ne_ff|ne ?a ff → eq ?a tt
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2015-12-14 02:22:51 +00:00
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tactic.with_attributes_tac|tactic.expr → tactic.identifier_list → tactic → tactic
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2016-06-01 02:14:42 +00:00
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cond_tt|∀ t e, eq (cond tt t e) t
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2015-03-29 19:41:46 +00:00
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ff_ne_tt|eq ff tt → false
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2015-03-05 02:05:12 +00:00
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eq_ff_of_ne_tt|ne ?a tt → eq ?a ff
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2014-09-15 23:07:23 +00:00
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-- ENDFINDP
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