Nuprl Lemma : is-latest-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-latest-val: (X)-,
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: 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 :
latest-val-cases,
es-le-self,
event-ordering+_subtype,
es-le_wf,
assert_wf,
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_wf,
top_wf,
is-prior-val,
es-le_weakening,
has-latest-val,
es-locl_wf,
and_wf,
equal_wf,
assert_elim,
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-prior-val_wf
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}[T:Type]. \mforall{}X:EClass(T). \mforall{}e:E. (\muparrow{}e \mmember{}\msubb{} (X)\msupminus{} \mLeftarrow{}{}\mRightarrow{} \mexists{}e':E. (e' \mleq{}loc e \mwedge{} (\muparrow{}e' \mmember{}\msubb{} X)))
Date html generated:
2015_07_21-PM-03_22_57
Last ObjectModification:
2015_01_27-PM-06_47_00
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