Nuprl Lemma : OARcast_orderer_for_sender_wf
∀[M:ValueAllType]
(OARcast_orderer_for_sender(M) ∈ Id
─→ Id
─→ (Id × ℤ × M)
─→ ((ℤ × M) List × ℤ × ((ℤ × M) List))
─→ ((ℤ × M) List × ℤ × ((ℤ × M) List)))
Proof
Definitions occuring in Statement :
OARcast_orderer_for_sender: OARcast_orderer_for_sender(M),
Id: Id,
list: T List,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ
Lemmas :
eq_id_wf,
bool_wf,
eqtt_to_assert,
assert-eq-id,
process-ordered-message_wf_simple,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
Id_wf,
nil_wf,
list_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[M:ValueAllType]
(OARcast\_orderer\_for\_sender(M) \mmember{} Id
{}\mrightarrow{} Id
{}\mrightarrow{} (Id \mtimes{} \mBbbZ{} \mtimes{} M)
{}\mrightarrow{} ((\mBbbZ{} \mtimes{} M) List \mtimes{} \mBbbZ{} \mtimes{} ((\mBbbZ{} \mtimes{} M) List))
{}\mrightarrow{} ((\mBbbZ{} \mtimes{} M) List \mtimes{} \mBbbZ{} \mtimes{} ((\mBbbZ{} \mtimes{} M) List)))
Date html generated:
2015_07_23-PM-00_31_14
Last ObjectModification:
2015_01_29-AM-01_26_10
Home
Index