Nuprl Lemma : consensus-ts4-passed-stable
∀[V:Type]. ∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)} List List]. ∀[a:{a:Id| (a ∈ A)} ]. ∀[i:ℤ].
ts-stable(consensus-ts4(V;A;W);s.by state s, a passed inning i without archiving a value)
Proof
Definitions occuring in Statement :
cs-passed: by state s, a passed inning i without archiving a value,
consensus-ts4: consensus-ts4(V;A;W),
Id: Id,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
set: {x:A| B[x]} ,
int: ℤ,
universe: Type,
ts-stable: ts-stable(ts;x.P[x])
Lemmas :
member-less_than,
cs-inning_wf,
l_member_wf,
fpf-domain_wf,
cs-estimate_wf,
top_wf,
consensus-state4-subtype,
infix_ap_wf,
ts-type_wf,
consensus-ts4_wf,
ts-rel_wf,
cs-passed_wf,
list_wf,
Id_wf,
consensus-rel_wf,
consensus-state4_wf,
set_wf,
decidable__equal_Id,
subtype-fpf2,
not_wf,
less_than_wf,
fpf_wf,
equal_wf,
atom2_subtype_base,
subtype_base_sq,
le-add-cancel,
add-associates,
add_functionality_wrt_le,
add-commutes,
add-swap,
minus-one-mul,
minus-add,
condition-implies-le,
le_antisymmetry_iff,
less-iff-le,
false_wf,
decidable__lt,
and_wf,
member_wf,
true_wf,
squash_wf,
or_wf,
int-deq_wf,
fpf-single_wf,
fpf-domain-join,
less_than_irreflexivity,
le_weakening,
less_than_transitivity1,
member_singleton
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List]. \mforall{}[a:\{a:Id| (a \mmember{} A)\} ]. \mforall{}[i:\mBbbZ{}].
ts-stable(consensus-ts4(V;A;W);s.by state s, a passed inning i without archiving a value)
Date html generated:
2015_07_17-AM-11_27_51
Last ObjectModification:
2015_07_16-AM-09_50_42
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