Nuprl Lemma : run-event-interval_wf
∀[M:Type ⟶ Type]. ∀[r:pRunType(P.M[P])]. ∀[e1,e2:runEvents(r)].  (run-event-interval(r;e1;e2) ∈ runEvents(r) List)
Proof
Definitions occuring in Statement : 
run-event-interval: run-event-interval(r;e1;e2)
, 
runEvents: runEvents(r)
, 
pRunType: pRunType(T.M[T])
, 
list: T List
, 
uall: ∀[x:A]. B[x]
, 
so_apply: x[s]
, 
member: t ∈ T
, 
function: x:A ⟶ B[x]
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
run-event-interval: run-event-interval(r;e1;e2)
, 
let: let, 
and: P ∧ Q
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
subtype_rel: A ⊆r B
, 
prop: ℙ
, 
all: ∀x:A. B[x]
, 
nat: ℕ
, 
decidable: Dec(P)
, 
or: P ∨ Q
, 
guard: {T}
, 
ge: i ≥ j 
, 
uimplies: b supposing a
, 
satisfiable_int_formula: satisfiable_int_formula(fmla)
, 
exists: ∃x:A. B[x]
, 
false: False
, 
implies: P 
⇒ Q
, 
not: ¬A
, 
top: Top
, 
cand: A c∧ B
, 
squash: ↓T
, 
sq_stable: SqStable(P)
, 
pi1: fst(t)
, 
pi2: snd(t)
, 
is-run-event: is-run-event(r;t;x)
, 
runEvents: runEvents(r)
Latex:
\mforall{}[M:Type  {}\mrightarrow{}  Type].  \mforall{}[r:pRunType(P.M[P])].  \mforall{}[e1,e2:runEvents(r)].
    (run-event-interval(r;e1;e2)  \mmember{}  runEvents(r)  List)
Date html generated:
2016_05_17-AM-10_43_43
Last ObjectModification:
2016_01_18-AM-00_14_38
Theory : process-model
Home
Index