Nuprl Lemma : OARcast_deliverer_for_sender_seq_update_wf
∀[M:ValueAllType]. ∀[deqM:EqDecider(M)].
(OARcast_deliverer_for_sender_seq_update(M;deqM) ∈ Id
⟶ ℤ
⟶ Id
⟶ (Id × Id × ℤ × M)
⟶ (bag(Id) × ((M × ℕ) List))
⟶ (bag(Id) × ((M × ℕ) List)))
Proof
Definitions occuring in Statement :
OARcast_deliverer_for_sender_seq_update: OARcast_deliverer_for_sender_seq_update(M;deqM),
Id: Id,
list: T List,
deq: EqDecider(T),
nat: ℕ,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
int: ℤ,
bag: bag(T)
Definitions unfolded in proof :
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
OARcast_deliverer_for_sender_seq_update: OARcast_deliverer_for_sender_seq_update(M;deqM),
deq: EqDecider(T)
Latex:
\mforall{}[M:ValueAllType]. \mforall{}[deqM:EqDecider(M)].
(OARcast\_deliverer\_for\_sender\_seq\_update(M;deqM) \mmember{} Id
{}\mrightarrow{} \mBbbZ{}
{}\mrightarrow{} Id
{}\mrightarrow{} (Id \mtimes{} Id \mtimes{} \mBbbZ{} \mtimes{} M)
{}\mrightarrow{} (bag(Id) \mtimes{} ((M \mtimes{} \mBbbN{}) List))
{}\mrightarrow{} (bag(Id) \mtimes{} ((M \mtimes{} \mBbbN{}) List)))
Date html generated:
2016_05_17-PM-01_08_17
Last ObjectModification:
2015_12_29-PM-06_19_20
Theory : event-logic-applications
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