Nuprl Lemma : is-run-event_wf
∀[M:Type ⟶ Type]. ∀[r:pRunType(P.M[P])]. ∀[t:ℕ]. ∀[x:Id]. (is-run-event(r;t;x) ∈ 𝔹)
Proof
Definitions occuring in Statement :
is-run-event: is-run-event(r;t;x),
pRunType: pRunType(T.M[T]),
Id: Id,
nat: ℕ,
bool: 𝔹,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
pRunType: pRunType(T.M[T]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
is-run-event: is-run-event(r;t;x),
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
band: p ∧b q,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
spreadn: spread3,
outl: outl(x),
isl: isl(x),
assert: ↑b,
bfalse: ff,
false: False
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])]. \mforall{}[t:\mBbbN{}]. \mforall{}[x:Id]. (is-run-event(r;t;x) \mmember{} \mBbbB{})
Date html generated:
2016_05_17-AM-10_41_52
Last ObjectModification:
2015_12_29-PM-05_24_21
Theory : process-model
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