Nuprl Lemma : consensus-rel-knowledge-step_wf
∀[V:Type]. ∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)}  List List]. ∀[x1,y1:ConsensusState]. ∀[x2,y2:Knowledge(ConsensusState)].
∀[a:{a:Id| (a ∈ A)} ].
  (consensus-rel-knowledge-step(V;A;W;x1;x2;y1;y2;a) ∈ ℙ)
Proof
Definitions occuring in Statement : 
consensus-rel-knowledge-step: consensus-rel-knowledge-step(V;A;W;x1;x2;y1;y2;a)
, 
consensus-state5: Knowledge(ConsensusState)
, 
consensus-state4: ConsensusState
, 
Id: Id
, 
l_member: (x ∈ l)
, 
list: T List
, 
uall: ∀[x:A]. B[x]
, 
prop: ℙ
, 
member: t ∈ T
, 
set: {x:A| B[x]} 
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
consensus-rel-knowledge-step: consensus-rel-knowledge-step(V;A;W;x1;x2;y1;y2;a)
, 
prop: ℙ
, 
and: P ∧ Q
, 
so_lambda: λ2x.t[x]
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
so_apply: x[s]
, 
or: P ∨ Q
Latex:
\mforall{}[V:Type].  \mforall{}[A:Id  List].  \mforall{}[W:\{a:Id|  (a  \mmember{}  A)\}    List  List].  \mforall{}[x1,y1:ConsensusState].
\mforall{}[x2,y2:Knowledge(ConsensusState)].  \mforall{}[a:\{a:Id|  (a  \mmember{}  A)\}  ].
    (consensus-rel-knowledge-step(V;A;W;x1;x2;y1;y2;a)  \mmember{}  \mBbbP{})
Date html generated:
2016_05_16-PM-00_21_57
Last ObjectModification:
2015_12_29-PM-01_27_16
Theory : event-ordering
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