Nuprl Lemma : pv11_p1_leq_bnum_dummy
∀ldrs_uid:Id ⟶ ℤ. ∀b:pv11_p1_Ballot_Num(). (↑(pv11_p1_leq_bnum(ldrs_uid) pv11_p1_dummy_ballot() b))
Proof
Definitions occuring in Statement :
pv11_p1_leq_bnum: pv11_p1_leq_bnum(ldrs_uid),
pv11_p1_dummy_ballot: pv11_p1_dummy_ballot(),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Id: Id,
assert: ↑b,
all: ∀x:A. B[x],
apply: f a,
function: x:A ⟶ B[x],
int: ℤ
Definitions unfolded in proof :
pv11_p1_dummy_ballot: pv11_p1_dummy_ballot(),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
all: ∀x:A. B[x],
assert: ↑b,
ifthenelse: if b then t else f fi ,
pv11_p1_leq_bnum: pv11_p1_leq_bnum(ldrs_uid),
btrue: tt,
true: True,
member: t ∈ T
Latex:
\mforall{}ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}. \mforall{}b:pv11\_p1\_Ballot\_Num(). (\muparrow{}(pv11\_p1\_leq\_bnum(ldrs$\mbackslash{}f\000Cf5f{uid}$) pv11\_p1\_dummy\_ballot() b))
Date html generated:
2016_05_17-PM-03_15_31
Last ObjectModification:
2015_12_29-PM-11_21_28
Theory : paxos!synod
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