Nuprl Lemma : archive-condition-single
∀[V:Type]. ∀[A:Id List]. ∀[t:ℕ+]. ∀[f:(V List) ─→ V]. ∀[L:consensus-rcv(V;A) List]. ∀[n:ℤ]. ∀[v:V].
∀[L1:consensus-rcv(V;A) List]. ∀[v1:V]. (¬archive-condition(V;A;t;f;n;v1;L1)) supposing L1 < L
supposing archive-condition(V;A;t;f;n;v;L)
Proof
Definitions occuring in Statement :
archive-condition: archive-condition(V;A;t;f;n;v;L),
consensus-rcv: consensus-rcv(V;A),
Id: Id,
proper-iseg: L1 < L2,
list: T List,
nat_plus: ℕ+,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
function: x:A ─→ B[x],
int: ℤ,
universe: Type
Lemmas :
archive-condition_wf,
nat_plus_subtype_nat,
proper-iseg_wf,
consensus-rcv_wf,
list_wf,
nat_plus_wf,
Id_wf,
less_than_irreflexivity,
archive-condition-innings
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[t:\mBbbN{}\msupplus{}]. \mforall{}[f:(V List) {}\mrightarrow{} V]. \mforall{}[L:consensus-rcv(V;A) List]. \mforall{}[n:\mBbbZ{}]. \mforall{}[v:V].
\mforall{}[L1:consensus-rcv(V;A) List]. \mforall{}[v1:V]. (\mneg{}archive-condition(V;A;t;f;n;v1;L1)) supposing L1 < L
supposing archive-condition(V;A;t;f;n;v;L)
Date html generated:
2015_07_17-AM-11_50_07
Last ObjectModification:
2015_01_28-AM-00_44_40
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