Nuprl Lemma : Comm-next-selex_wf
∀[l_comm:Id]. ∀[piD:PiDataVal()]. ∀[cSt:Comm-state()].
Comm-next-selex(l_comm;piD;cSt) ∈ Comm-output() supposing ↑pDVselex?(piD)
Proof
Definitions occuring in Statement :
Comm-next-selex: Comm-next-selex(l_comm;piD;cSt),
Comm-output: Comm-output(),
Comm-state: Comm-state(),
pDVselex?: pDVselex?(x),
PiDataVal: PiDataVal(),
Id: Id,
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,
Comm-next-selex: Comm-next-selex(l_comm;piD;cSt),
Comm-output: Comm-output(),
let: let,
prop: ℙ,
Comm-state: Comm-state(),
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
implies: P ⇒ Q,
subtype_rel: A ⊆r B,
top: Top
Latex:
\mforall{}[l$_{comm}$:Id]. \mforall{}[piD:PiDataVal()]. \mforall{}[cSt:Comm-state()].
Comm-next-selex(l$_{comm}$;piD;cSt) \mmember{} Comm-output() supposing \muparrow{}pDVselex?(piD)
Date html generated:
2016_05_17-AM-11_33_22
Last ObjectModification:
2015_12_29-PM-06_49_39
Theory : event-logic-applications
Home
Index