Nuprl Lemma : cs-is-considering-implies
∀[V:Type]. ∀[x:consensus-state3(V)].
x = CONSIDERING[cs-considered-val(x)] ∈ consensus-state3(V) supposing ↑cs-is-considering(x)
Proof
Definitions occuring in Statement :
cs-considered-val: cs-considered-val(x),
cs-is-considering: cs-is-considering(x),
cs-considering: CONSIDERING[v],
consensus-state3: consensus-state3(T),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
consensus-state3: consensus-state3(T),
cs-considered-val: cs-considered-val(x),
cs-is-considering: cs-is-considering(x),
outr: outr(x),
assert: ↑b,
ifthenelse: if b then t else f fi ,
bfalse: ff,
uimplies: b supposing a,
false: False,
prop: ℙ,
cs-considering: CONSIDERING[v],
isl: isl(x),
outl: outl(x),
btrue: tt
Latex:
\mforall{}[V:Type]. \mforall{}[x:consensus-state3(V)].
x = CONSIDERING[cs-considered-val(x)] supposing \muparrow{}cs-is-considering(x)
Date html generated:
2016_05_16-AM-11_50_59
Last ObjectModification:
2015_12_29-PM-01_17_14
Theory : event-ordering
Home
Index