Nuprl Lemma : es-interval_wf2
∀[es:EO]. ∀[e,e':E]. ([e, e'] ∈ {ev:E| loc(ev) = loc(e') ∈ Id} List)
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
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':E]. ([e, e'] \mmember{} \{ev:E| loc(ev) = loc(e')\} List)
Date html generated:
2016_05_16-AM-09_34_18
Last ObjectModification:
2015_12_28-PM-09_46_02
Theory : new!event-ordering
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