Nuprl Lemma : local-pred-class_wf
∀[Info:Type]. ∀[P:es:EO+(Info) ─→ E ─→ 𝔹].
(local-pred-class(P) ∈ EClass({e':E|
(e' <loc e)
∧ (↑(P es e'))
∧ (∀e'':E. ((e' <loc e'') ⇒ (e'' <loc e) ⇒ (¬↑(P es e''))))} ))
Proof
Definitions occuring in Statement :
local-pred-class: local-pred-class(P),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
assert: ↑b,
bool: 𝔹,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
and: P ∧ Q,
member: t ∈ T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A ─→ B[x],
universe: Type
Lemmas :
es-local-pred_wf,
or_wf,
sq_exists_wf,
es-E_wf,
event-ordering+_subtype,
es-locl_wf,
assert_wf,
all_wf,
not_wf,
single-bag_wf,
empty-bag_wf,
equal_wf,
event-ordering+_wf,
bool_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[P:es:EO+(Info) {}\mrightarrow{} E {}\mrightarrow{} \mBbbB{}].
(local-pred-class(P) \mmember{} EClass(\{e':E|
(e' <loc e)
\mwedge{} (\muparrow{}(P es e'))
\mwedge{} (\mforall{}e'':E. ((e' <loc e'') {}\mRightarrow{} (e'' <loc e) {}\mRightarrow{} (\mneg{}\muparrow{}(P es e''))))\} ))
Date html generated:
2015_07_20-PM-04_05_43
Last ObjectModification:
2015_01_27-PM-09_50_46
Home
Index