Nuprl Lemma : cs-considered-val_wf
∀[V:Type]. ∀[x:{x:consensus-state3(V)| ↑cs-is-considering(x)} ]. (cs-considered-val(x) ∈ V)
Proof
Definitions occuring in Statement :
cs-considered-val: cs-considered-val(x),
cs-is-considering: cs-is-considering(x),
consensus-state3: consensus-state3(T),
assert: ↑b,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
consensus-state3: consensus-state3(T),
cs-is-considering: cs-is-considering(x),
assert: ↑b,
ifthenelse: if b then t else f fi ,
bfalse: ff,
false: False,
cs-considered-val: cs-considered-val(x),
outr: outr(x),
outl: outl(x),
isl: isl(x),
btrue: tt,
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[V:Type]. \mforall{}[x:\{x:consensus-state3(V)| \muparrow{}cs-is-considering(x)\} ]. (cs-considered-val(x) \mmember{} V)
Date html generated:
2016_05_16-AM-11_50_44
Last ObjectModification:
2015_12_29-PM-01_17_28
Theory : event-ordering
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