Nuprl Lemma : cs-inning-committed-committable
∀[V:Type]
∀A:Id List. ∀W:{a:Id| (a ∈ A)} List List. ∀s:ConsensusState. ∀i:ℤ. ∀v:V.
(in state s, inning i has committed v ⇒ in state s, inning i could commit v )
Proof
Definitions occuring in Statement :
cs-inning-committable: in state s, inning i could commit v ,
cs-inning-committed: in state s, inning i has committed v,
consensus-state4: ConsensusState,
Id: Id,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
set: {x:A| B[x]} ,
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
cs-inning-committed: in state s, inning i has committed v,
cs-inning-committable: in state s, inning i could commit v ,
exists: ∃x:A. B[x],
member: t ∈ T,
and: P ∧ Q,
or: P ∨ Q,
prop: ℙ,
cand: A c∧ B,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[V:Type]
\mforall{}A:Id List. \mforall{}W:\{a:Id| (a \mmember{} A)\} List List. \mforall{}s:ConsensusState. \mforall{}i:\mBbbZ{}. \mforall{}v:V.
(in state s, inning i has committed v {}\mRightarrow{} in state s, inning i could commit v )
Date html generated:
2016_05_16-PM-00_00_11
Last ObjectModification:
2015_12_29-PM-01_20_48
Theory : event-ordering
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