Nuprl Lemma : es-le-before_wf2
∀[es:EO]. ∀[e:E]. (≤loc(e) ∈ {a:E| a ≤loc e } List)
Proof
Definitions occuring in Statement :
es-le-before: ≤loc(e),
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]}
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
all: ∀x:A. B[x],
prop: ℙ,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q
Latex:
\mforall{}[es:EO]. \mforall{}[e:E]. (\mleq{}loc(e) \mmember{} \{a:E| a \mleq{}loc e \} List)
Date html generated:
2016_05_16-AM-09_30_46
Last ObjectModification:
2015_12_28-PM-09_49_27
Theory : new!event-ordering
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