Nuprl Lemma : decidable__equal_cs-withdrawn
∀[V:Type]. ∀x:consensus-state3(V). Dec(x = WITHDRAWN ∈ consensus-state3(V))
Proof
Definitions occuring in Statement :
cs-withdrawn: WITHDRAWN,
consensus-state3: consensus-state3(T),
decidable: Dec(P),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
cs-withdrawn: WITHDRAWN,
consensus-state3: consensus-state3(T),
member: t ∈ T,
isl: isl(x),
and: P ∧ Q,
prop: ℙ,
not: ¬A,
implies: P ⇒ Q,
false: False,
decidable: Dec(P),
or: P ∨ Q,
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
true: True,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
bfalse: ff,
exists: ∃x:A. B[x],
bnot: ¬bb,
ifthenelse: if b then t else f fi ,
assert: ↑b
Latex:
\mforall{}[V:Type]. \mforall{}x:consensus-state3(V). Dec(x = WITHDRAWN)
Date html generated:
2016_05_16-AM-11_48_50
Last ObjectModification:
2015_12_29-PM-01_18_15
Theory : event-ordering
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