Nuprl Lemma : consensus-rel-add-knowledge-step

∀[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-add-knowledge-step(V;A;W;x1;x2;y1;y2;a) ∈ ℙ)

Proof

Definitions occuring in Statement : consensus-rel-add-knowledge-step: consensus-rel-add-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 : cs-inning_wf, fpf_wf, cs-estimate_wf, exists_wf, l_member_wf, le_wf, or_wf, all_wf, less_than_wf, not_wf, assert_wf, fpf-dom_wf, int-deq_wf, top_wf, consensus-state4-subtype, cs-knowledge_wf, fpf-join_wf, fpf-single_wf, id-deq_wf, fpf-ap_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-add-knowledge-step(V;A;W;x1;x2;y1;y2;a) \mmember{} \mBbbP{}) Date html generated: 2015_07_17-AM-11_40_40 Last ObjectModification: 2015_01_28-AM-01_31_38 Home Index