Nuprl Lemma : pv11_p1_in_domain_wf
∀[Cmd:ValueAllType]. (pv11_p1_in_domain(Cmd) ∈ ℤ ⟶ ((ℤ × Cmd) List) ⟶ 𝔹)
Proof
Definitions occuring in Statement :
pv11_p1_in_domain: pv11_p1_in_domain(Cmd),
list: T List,
vatype: ValueAllType,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
pv11_p1_in_domain: pv11_p1_in_domain(Cmd),
vatype: ValueAllType,
pi1: fst(t)
Latex:
\mforall{}[Cmd:ValueAllType]. (pv11\_p1\_in\_domain(Cmd) \mmember{} \mBbbZ{} {}\mrightarrow{} ((\mBbbZ{} \mtimes{} Cmd) List) {}\mrightarrow{} \mBbbB{})
Date html generated:
2016_05_17-PM-03_12_25
Last ObjectModification:
2015_12_29-PM-11_22_39
Theory : paxos!synod
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