Nuprl Lemma : run-event-local-pred_wf
∀[M:Type ⟶ Type]. ∀[r:pRunType(P.M[P])]. ∀[e:runEvents(r)]. (run-event-local-pred(r;e) ∈ runEvents(r)?)
Proof
Definitions occuring in Statement :
run-event-local-pred: run-event-local-pred(r;e),
runEvents: runEvents(r),
pRunType: pRunType(T.M[T]),
uall: ∀[x:A]. B[x],
so_apply: x[s],
unit: Unit,
member: t ∈ T,
function: x:A ⟶ B[x],
union: left + right,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
run-event-local-pred: run-event-local-pred(r;e),
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
uimplies: b supposing a,
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
exposed-bfalse: exposed-bfalse,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
ifthenelse: if b then t else f fi ,
bfalse: ff,
iff: P ⇐⇒ Q,
not: ¬A,
prop: ℙ,
rev_implies: P ⇐ Q
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])]. \mforall{}[e:runEvents(r)].
(run-event-local-pred(r;e) \mmember{} runEvents(r)?)
Date html generated:
2016_05_17-AM-10_44_10
Last ObjectModification:
2015_12_29-PM-05_23_05
Theory : process-model
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