Nuprl Lemma : is-pair-prior
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(Top)]. ∀[e:E]. uiff(↑e ∈b X;Y;(↑e ∈b (X)') ∧ (↑e ∈b Y))
Proof
Definitions occuring in Statement :
es-interface-pair-prior: X;Y,
es-prior-val: (X)',
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
top: Top,
and: P ∧ Q,
universe: Type
Lemmas :
in-eclass_wf,
es-prior-val_wf,
top_wf,
bool_wf,
eqtt_to_assert,
bag_size_single_lemma,
true_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
bag_size_empty_lemma,
false_wf,
assert_witness,
assert_wf,
es-interface-pair-prior_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
subtype_top,
eclass_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y:EClass(Top)]. \mforall{}[e:E]. uiff(\muparrow{}e \mmember{}\msubb{} X;Y;(\muparrow{}e \mmember{}\msubb{} (X)') \mwedge{} (\muparrow{}e \mmember{}\msubb{} Y))
Date html generated:
2015_07_21-PM-03_47_26
Last ObjectModification:
2015_01_27-PM-06_24_55
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