Nuprl Lemma : member-es-interface-events2
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀L:E List. ∀e:E. ((e ∈ eclass-events(es;X;L)) ⇐⇒ {(↑e ∈b X) ∧ (e ∈ L)})
Proof
Definitions occuring in Statement :
eclass-events: eclass-events(es;X;L),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
l_member: (x ∈ l),
list: T List,
assert: ↑b,
uall: ∀[x:A]. B[x],
top: Top,
guard: {T},
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
guard: {T},
eclass-events: eclass-events(es;X;L),
member: t ∈ T,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
prop: ℙ,
rev_implies: P ⇐ Q
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}L:E List. \mforall{}e:E.
((e \mmember{} eclass-events(es;X;L)) \mLeftarrow{}{}\mRightarrow{} \{(\muparrow{}e \mmember{}\msubb{} X) \mwedge{} (e \mmember{} L)\})
Date html generated:
2016_05_16-PM-11_01_22
Last ObjectModification:
2015_12_29-AM-10_41_48
Theory : event-ordering
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