Nuprl Lemma : member-es-interface-events
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀L:E List. ∀e:E(X). ((e ∈ eclass-events(es;X;L)) ⇐⇒ (e ∈ L))
Proof
Definitions occuring in Statement :
eclass-events: eclass-events(es;X;L),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
universe: Type
Lemmas :
l_member_wf,
es-E-interface_wf,
eclass-events_wf,
es-E_wf,
event-ordering+_subtype,
list_wf,
eclass_wf,
top_wf,
event-ordering+_wf,
l_member_subtype,
member_filter,
in-eclass_wf,
l_member-settype,
assert_wf,
assert_elim,
subtype_base_sq,
bool_wf,
bool_subtype_base
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}L:E List. \mforall{}e:E(X). ((e \mmember{} eclass-events(es;X;L)) \mLeftarrow{}{}\mRightarrow{} (e \mmember{} L))
Date html generated:
2015_07_20-PM-03_40_48
Last ObjectModification:
2015_01_27-PM-10_11_10
Home
Index