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: List uall: [x:A]. B[x] prop: 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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