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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