Nuprl Lemma : es-first-exists
∀es:EO. ∀e':E. ∃e:E. ((↑first(e)) ∧ e ≤loc e' )
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-first: first(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
and: P ∧ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
implies: P ⇒ Q,
prop: ℙ,
wellfounded: WellFnd{i}(A;x,y.R[x; y]),
guard: {T},
decidable: Dec(P),
or: P ∨ Q,
exists: ∃x:A. B[x],
and: P ∧ Q,
cand: A c∧ B,
uimplies: b supposing a
Latex:
\mforall{}es:EO. \mforall{}e':E. \mexists{}e:E. ((\muparrow{}first(e)) \mwedge{} e \mleq{}loc e' )
Date html generated:
2016_05_16-AM-09_40_47
Last ObjectModification:
2015_12_28-PM-09_42_19
Theory : new!event-ordering
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