Nuprl Lemma : consensus-rel-mod_wf
∀[V:Type]. ∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)} List List]. ∀[ws:{a:Id| (a ∈ A)} List]. ∀[x,y:ConsensusState].
(CR(in ws)[x, y] ∈ ℙ)
Proof
Definitions occuring in Statement :
consensus-rel-mod: CR(in ws)[x, y] ,
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 :
exists_wf,
Id_wf,
l_member_wf,
all_wf,
not_wf,
equal_wf,
cs-inning_wf,
fpf_wf,
cs-estimate_wf,
or_wf,
fpf-domain_wf,
top_wf,
consensus-state4-subtype,
cs-precondition_wf,
fpf-join_wf,
fpf-single_wf,
int-deq_wf,
consensus-state4_wf,
list_wf
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List]. \mforall{}[ws:\{a:Id| (a \mmember{} A)\} List].
\mforall{}[x,y:ConsensusState].
(CR(in ws)[x, y] \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-11_26_25
Last ObjectModification:
2015_01_28-AM-01_38_19
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