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
Lemmas :
all_wf,
l_member_wf,
not_wf,
equal_wf,
cs-inning_wf,
fpf_wf,
cs-estimate_wf,
top_wf,
cs-knowledge_wf,
or_wf,
consensus-rel-knowledge-inning-step_wf,
consensus-rel-knowledge-archive-step_wf,
consensus-rel-add-knowledge-step_wf,
set_wf,
Id_wf,
consensus-state5_wf,
consensus-state4_wf,
list_wf
\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:
2015_07_17-AM-11_40_48
Last ObjectModification:
2015_01_28-AM-01_31_24
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