Nuprl Lemma : oarcast-deliver-output_wf
∀[M:Type]. ∀[num:ℤ]. ∀[s:bag(Id) × ((M × ℕ) List)]. (oarcast-deliver-output(num;s) ∈ M?)
Proof
Definitions occuring in Statement :
oarcast-deliver-output: oarcast-deliver-output(num;s),
Id: Id,
list: T List,
nat: ℕ,
uall: ∀[x:A]. B[x],
unit: Unit,
member: t ∈ T,
product: x:A × B[x],
union: left + right,
int: ℤ,
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
oarcast-deliver-output: oarcast-deliver-output(num;s),
mapfilter: mapfilter(f;P;L),
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
nat: ℕ,
prop: ℙ,
all: ∀x:A. B[x],
implies: P ⇒ Q,
uimplies: b supposing a,
top: Top,
or: P ∨ Q,
it: ⋅,
null: null(as),
nil: [],
ifthenelse: if b then t else f fi ,
btrue: tt,
unit: Unit,
cons: [a / b],
bfalse: ff
Latex:
\mforall{}[M:Type]. \mforall{}[num:\mBbbZ{}]. \mforall{}[s:bag(Id) \mtimes{} ((M \mtimes{} \mBbbN{}) List)]. (oarcast-deliver-output(num;s) \mmember{} M?)
Date html generated:
2016_05_17-PM-00_57_54
Last ObjectModification:
2015_12_29-PM-06_26_00
Theory : event-logic-applications
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