Nuprl Lemma : decidable__equal_cs-initial
∀[V:Type]. ∀x:consensus-state3(V). Dec(x = INITIAL ∈ consensus-state3(V))
Proof
Definitions occuring in Statement : 
cs-initial: INITIAL
, 
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-initial: INITIAL
, 
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  =  INITIAL)
Date html generated:
2016_05_16-AM-11_48_24
Last ObjectModification:
2015_12_29-PM-01_16_09
Theory : event-ordering
Home
Index