Nuprl Lemma : cs-considering-equal
∀[V:Type]. ∀[v1,v:V]. uiff(CONSIDERING[v] = CONSIDERING[v1] ∈ consensus-state3(V);v = v1 ∈ V)
Proof
Definitions occuring in Statement :
cs-considering: CONSIDERING[v],
consensus-state3: consensus-state3(T),
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
prop: ℙ,
cs-considering: CONSIDERING[v],
consensus-state3: consensus-state3(T),
outl: outl(x),
isl: isl(x),
assert: ↑b,
ifthenelse: if b then t else f fi ,
btrue: tt,
true: True
Latex:
\mforall{}[V:Type]. \mforall{}[v1,v:V]. uiff(CONSIDERING[v] = CONSIDERING[v1];v = v1)
Date html generated:
2016_05_16-AM-11_49_32
Last ObjectModification:
2015_12_29-PM-01_17_22
Theory : event-ordering
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