Nuprl Lemma : consensus-ts4-inning-rel
∀[V:Type]. ∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)} List List]. ∀[a:{a:Id| (a ∈ A)} ].
ts-stable-rel(consensus-ts4(V;A;W);x,y.Inning(x;a) ≤ Inning(y;a))
Proof
Definitions occuring in Statement :
consensus-ts4: consensus-ts4(V;A;W),
cs-inning: Inning(s;a),
Id: Id,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
le: A ≤ B,
set: {x:A| B[x]} ,
universe: Type,
ts-stable-rel: ts-stable-rel(ts;x,y.R[x; y])
Lemmas :
less_than_wf,
cs-inning_wf,
infix_ap_wf,
ts-type_wf,
consensus-ts4_wf,
rel_star_wf,
ts-rel_wf,
set_wf,
l_member_wf,
list_wf,
Id_wf,
ts-transitive-stable,
le_wf,
le_weakening,
consensus-state4_wf,
le_transitivity,
consensus-rel_wf,
decidable__equal_Id,
atom2_subtype_base,
subtype_base_sq
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List]. \mforall{}[a:\{a:Id| (a \mmember{} A)\} ].
ts-stable-rel(consensus-ts4(V;A;W);x,y.Inning(x;a) \mleq{} Inning(y;a))
Date html generated:
2015_07_17-AM-11_26_38
Last ObjectModification:
2015_07_16-AM-09_51_10
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