Nuprl Lemma : assert-ses-is-legal
∀prvt:Atom1. ∀pas:ProtocolAction List. (↑ses-is-legal(prvt; pas) ⇐⇒ Legal(pas) given prvt)
Proof
Definitions occuring in Statement :
ses-is-legal: ses-is-legal(prvt; pas),
ses-legal-sequence: Legal(pas) given prvt,
protocol-action: ProtocolAction,
list: T List,
atom: Atom$n,
assert: ↑b,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
ses-is-legal: ses-is-legal(prvt; pas),
member: t ∈ T,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
prop: ℙ,
implies: P ⇒ Q,
decidable: Dec(P),
or: P ∨ Q,
isl: isl(x),
assert: ↑b,
ifthenelse: if b then t else f fi ,
btrue: tt,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
true: True,
bfalse: ff,
false: False,
not: ¬A
Latex:
\mforall{}prvt:Atom1. \mforall{}pas:ProtocolAction List. (\muparrow{}ses-is-legal(prvt; pas) \mLeftarrow{}{}\mRightarrow{} Legal(pas) given prvt)
Date html generated:
2016_05_17-PM-00_38_31
Last ObjectModification:
2015_12_29-PM-06_32_20
Theory : event-logic-applications
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