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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2015-03-07 03:20:48 +00:00
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bool.bor_tt|∀ (a : bool), eq (bool.bor a bool.tt) bool.tt
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bool.band_tt|∀ (a : bool), 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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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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2015-03-07 03:20:48 +00:00
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bool.tt_band|∀ (a : bool), eq (bool.band bool.tt a) a
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bool.cond_tt|∀ (t e : ?A), 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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2015-03-07 03:20:48 +00:00
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bool.tt_bor|∀ (a : bool), 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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2015-03-07 03:20:48 +00:00
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tt_bor|∀ (a : bool), eq (bor tt a) tt
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tt_band|∀ (a : bool), eq (band tt a) a
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bor_tt|∀ (a : bool), eq (bor a tt) tt
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band_tt|∀ (a : bool), eq (band a tt) a
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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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2015-03-07 03:20:48 +00:00
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cond_tt|∀ (t e : ?A), 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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