Nuprl Lemma : class-of-hdataflow
∀[Info,A:Type]. ∀F:Id ⟶ hdataflow(Info;A). (F ∈ LocalClass(hdataflow-class(F)))
Proof
Definitions occuring in Statement :
hdataflow-class: hdataflow-class(F),
local-class: LocalClass(X),
hdataflow: hdataflow(A;B),
Id: Id,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
prop: ℙ,
implies: P ⇒ Q,
sq_exists: ∃x:{A| B[x]},
local-class: LocalClass(X),
subtype_rel: A ⊆r B,
so_apply: x[s],
so_lambda: λ2x.t[x],
record-select: r.x,
es-loc: loc(e),
eq_atom: eq_atom$n(x;y),
atom2-deq: Atom2Deq,
id-deq: IdDeq,
eq_id: a = b,
band: p ∧b q,
es-eq: es-eq(es),
es-eq-E: e = e',
bor: p ∨bq,
es-first: first(e),
ifthenelse: if b then t else f fi ,
es-before: before(e),
list_ind: list_ind,
map: map(f;as),
list_accum: list_accum,
iterate-hdataflow: P*(inputs),
hdf-ap: X(a),
pi2: snd(t),
hdataflow-class: hdataflow-class(F),
class-ap: X(e),
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[Info,A:Type]. \mforall{}F:Id {}\mrightarrow{} hdataflow(Info;A). (F \mmember{} LocalClass(hdataflow-class(F)))
Date html generated:
2016_05_17-AM-08_48_29
Last ObjectModification:
2015_12_28-PM-10_43_22
Theory : event-ordering
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