Nuprl Lemma : pDVmsg-index_wf
∀[x:PiDataVal()]. pDVmsg-index(x) ∈ ℕ supposing ↑pDVmsg?(x)
Proof
Definitions occuring in Statement :
pDVmsg-index: pDVmsg-index(x),
pDVmsg?: pDVmsg?(x),
PiDataVal: PiDataVal(),
nat: ℕ,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
pDVmsg-index: pDVmsg-index(x),
PiDataVal: PiDataVal(),
pDVloc: pDVloc(id),
pDVmsg?: pDVmsg?(x),
all: ∀x:A. B[x],
so_lambda: λ2x y.t[x; y],
top: Top,
so_apply: x[s1;s2],
so_lambda: λ2x.t[x],
so_apply: x[s],
assert: ↑b,
ifthenelse: if b then t else f fi ,
bfalse: ff,
implies: P ⇒ Q,
false: False,
prop: ℙ,
pDVloc_tag: pDVloc_tag(id;name),
pDVguards: pDVguards(from;preList),
pDVmsg: pDVmsg(val;index),
btrue: tt,
unit: Unit,
it: ⋅,
pDVfire: pDVfire(),
pDVcontinue: pDVcontinue(),
pDVselex: pDVselex(rndv1),
pDVrequest: pDVrequest(rndv2;counter)
Latex:
\mforall{}[x:PiDataVal()]. pDVmsg-index(x) \mmember{} \mBbbN{} supposing \muparrow{}pDVmsg?(x)
Date html generated:
2016_05_17-AM-11_29_11
Last ObjectModification:
2015_12_29-PM-06_51_23
Theory : event-logic-applications
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