Nuprl Lemma : ses-cabal_wf
∀[s:SES]. ∀[C:Id List]. ∀[as:Atom1 List]. ∀[es:EO+(Info)]. (C is a cabal for as ∈ ℙ)
Proof
Definitions occuring in Statement :
ses-cabal: cabal is a cabal for atms,
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
Id: Id,
list: T List,
atom: Atom$n,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ses-cabal: cabal is a cabal for atms,
so_lambda: λ2x.t[x],
all: ∀x:A. B[x],
prop: ℙ,
and: P ∧ Q,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a,
top: Top,
es-E-interface: E(X),
so_apply: x[s],
or: P ∨ Q,
exists: ∃x:A. B[x],
implies: P ⇒ Q
Latex:
\mforall{}[s:SES]. \mforall{}[C:Id List]. \mforall{}[as:Atom1 List]. \mforall{}[es:EO+(Info)]. (C is a cabal for as \mmember{} \mBbbP{})
Date html generated:
2016_05_17-AM-11_48_55
Last ObjectModification:
2016_01_18-AM-07_44_56
Theory : event-logic-applications
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