Nuprl Lemma : run-info_wf
∀[M:Type ⟶ Type]. ∀[r:pRunType(P.M[P])]. ∀[e:runEvents(r)]. (run-info(r;e) ∈ ℤ × Id × pMsg(P.M[P]))
Proof
Definitions occuring in Statement :
runEvents: runEvents(r),
run-info: run-info(r;e),
pRunType: pRunType(T.M[T]),
pMsg: pMsg(P.M[P]),
Id: Id,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
runEvents: runEvents(r),
run-info: run-info(r;e),
is-run-event: is-run-event(r;t;x),
pi1: fst(t),
pi2: snd(t),
pRunType: pRunType(T.M[T]),
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
implies: P ⇒ Q,
isl: isl(x),
outl: outl(x),
band: p ∧b q,
ifthenelse: if b then t else f fi ,
btrue: tt,
spreadn: spread3,
prop: ℙ,
bfalse: ff,
assert: ↑b,
false: False
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])]. \mforall{}[e:runEvents(r)].
(run-info(r;e) \mmember{} \mBbbZ{} \mtimes{} Id \mtimes{} pMsg(P.M[P]))
Date html generated:
2016_05_17-AM-10_42_08
Last ObjectModification:
2015_12_29-PM-05_24_12
Theory : process-model
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