Nuprl Lemma : is-prior-val
∀[Info:Type]. ∀es:EO+(Info). ∀[T:Type]. ∀X:EClass(T). ∀e:E. (↑e ∈b (X)' ⇐⇒ ∃e':E. ((e' <loc e) ∧ (↑e' ∈b X)))
Proof
Definitions occuring in Statement :
es-prior-val: (X)',
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
assert: ↑b,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
universe: Type
Lemmas :
in-eclass_wf,
es-prior-interface_wf1,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
subtype_top,
es-E-interface_wf,
bool_wf,
eqtt_to_assert,
bag_size_single_lemma,
es-is-prior-interface,
true_wf,
exists_wf,
es-locl_wf,
assert_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
bag_size_empty_lemma,
false_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}[T:Type]. \mforall{}X:EClass(T). \mforall{}e:E. (\muparrow{}e \mmember{}\msubb{} (X)' \mLeftarrow{}{}\mRightarrow{} \mexists{}e':E. ((e' <loc e) \mwedge{} (\muparrow{}e' \mmember{}\msubb{} X)))
Date html generated:
2015_07_21-PM-03_19_37
Last ObjectModification:
2015_01_27-PM-07_18_20
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