Nuprl Lemma : pv11_p1_on_propose_wf
∀[Cmd:ValueAllType]
(pv11_p1_on_propose(Cmd) ∈ Id
─→ (ℤ × Cmd)
─→ (pv11_p1_Ballot_Num() × 𝔹 × ((ℤ × Cmd) List))
─→ (pv11_p1_Ballot_Num() × 𝔹 × ((ℤ × Cmd) List)))
Proof
Definitions occuring in Statement :
pv11_p1_on_propose: pv11_p1_on_propose(Cmd),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Id: Id,
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
Lemmas :
let_wf,
list_wf,
pv11_p1_Ballot_Num_wf,
bool_wf,
pv11_p1_in_domain_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
pv11_p1_add_if_new_wf,
pv11_p1_same_proposal_wf,
Id_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType]
(pv11\_p1\_on\_propose(Cmd) \mmember{} Id
{}\mrightarrow{} (\mBbbZ{} \mtimes{} Cmd)
{}\mrightarrow{} (pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbB{} \mtimes{} ((\mBbbZ{} \mtimes{} Cmd) List))
{}\mrightarrow{} (pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbB{} \mtimes{} ((\mBbbZ{} \mtimes{} Cmd) List)))
Date html generated:
2015_07_23-PM-04_32_55
Last ObjectModification:
2015_01_29-PM-04_38_12
Home
Index