Nuprl Lemma : consensus-accum-num-state_wf
∀[V:Type]. ∀[A:Id List]. ∀[t:ℕ]. ∀[f:(V List) ⟶ V]. ∀[v0:V]. ∀[L:consensus-rcv(V;A) List].
(consensus-accum-num-state(t;f;v0;L) ∈ 𝔹 × ℤ × {a:Id| (a ∈ A)} List × V List × V)
Proof
Definitions occuring in Statement :
consensus-accum-num-state: consensus-accum-num-state(t;f;v0;L),
consensus-rcv: consensus-rcv(V;A),
Id: Id,
l_member: (x ∈ l),
list: T List,
nat: ℕ,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ⟶ B[x],
product: x:A × B[x],
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
consensus-accum-num-state: consensus-accum-num-state(t;f;v0;L),
prop: ℙ,
so_lambda: λ2x y.t[x; y],
nat: ℕ,
so_apply: x[s1;s2]
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[t:\mBbbN{}]. \mforall{}[f:(V List) {}\mrightarrow{} V]. \mforall{}[v0:V]. \mforall{}[L:consensus-rcv(V;A) List].
(consensus-accum-num-state(t;f;v0;L) \mmember{} \mBbbB{} \mtimes{} \mBbbZ{} \mtimes{} \{a:Id| (a \mmember{} A)\} List \mtimes{} V List \mtimes{} V)
Date html generated:
2016_05_16-PM-00_38_47
Last ObjectModification:
2015_12_29-PM-01_35_10
Theory : event-ordering
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