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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2014-10-01 23:51:10 +00:00
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bool.and_tt_left|∀ (a : bool), eq (bool.and bool.tt a) a
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bool.and_tt_right|∀ (a : bool), eq (bool.and 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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2014-10-01 23:51:10 +00:00
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bool.or_tt_left|∀ (a : bool), eq (bool.or bool.tt a) bool.tt
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bool.and_eq_tt_elim_left|eq (bool.and ?a ?b) bool.tt → eq ?a bool.tt
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bool.and_eq_tt_elim_right|eq (bool.and ?a ?b) bool.tt → eq ?b bool.tt
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2014-09-15 23:07:23 +00:00
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bool.cond_tt|∀ (t e : ?A), eq (bool.cond bool.tt t e) t
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2014-10-01 23:51:10 +00:00
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bool.or_tt_right|∀ (a : bool), eq (bool.or a bool.tt) bool.tt
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2014-09-15 23:07:23 +00:00
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bool.ff_ne_tt|not (eq bool.ff bool.tt)
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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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2014-10-01 23:51:10 +00:00
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and_tt_left|∀ (a : bool), eq (and tt a) a
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and_tt_right|∀ (a : bool), eq (and a tt) a
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or_tt_left|∀ (a : bool), eq (or tt a) tt
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and_eq_tt_elim_left|eq (and ?a ?b) tt → eq ?a tt
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and_eq_tt_elim_right|eq (and ?a ?b) tt → eq ?b tt
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2014-09-15 23:07:23 +00:00
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cond_tt|∀ (t e : ?A), eq (cond tt t e) t
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2014-10-01 23:51:10 +00:00
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or_tt_right|∀ (a : bool), eq (or a tt) tt
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2014-09-15 23:07:23 +00:00
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ff_ne_tt|not (eq ff tt)
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-- ENDFINDP
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