Nuprl Lemma : consensus-rel-add-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-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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
consensus-rel-add-knowledge-step: consensus-rel-add-knowledge-step(V;A;W;x1;x2;y1;y2;a),
prop: ℙ,
and: P ∧ Q,
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
implies: P ⇒ Q,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
top: Top,
exists: ∃x:A. B[x],
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-add-knowledge-step(V;A;W;x1;x2;y1;y2;a) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-00_21_39
Last ObjectModification:
2015_12_29-PM-01_27_34
Theory : event-ordering
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