Nuprl Lemma : ses-fresh-sequence_wf
∀[f:SecurityData ⟶ (Atom1?)]. ∀[A:Id]. ∀[pas:ProtocolAction List]. (ses-fresh-sequence(f;A;pas) ∈ ℙ)
Proof
Definitions occuring in Statement :
ses-fresh-sequence: ses-fresh-sequence(f;A;pas),
protocol-action: ProtocolAction,
sdata: SecurityData,
Id: Id,
list: T List,
atom: Atom$n,
uall: ∀[x:A]. B[x],
prop: ℙ,
unit: Unit,
member: t ∈ T,
function: x:A ⟶ B[x],
union: left + right
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
pa-is-sign-implies: pa-is-sign-implies(a;v.P[v]),
pa-is-new-and: pa-is-new-and(a;v.P[v]),
ses-fresh-sequence: ses-fresh-sequence(f;A;pas),
so_lambda: λ2x.t[x],
all: ∀x:A. B[x],
int_seg: {i..j-},
uimplies: b supposing a,
guard: {T},
lelt: i ≤ j < k,
and: P ∧ Q,
decidable: Dec(P),
or: P ∨ Q,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
implies: P ⇒ Q,
not: ¬A,
top: Top,
prop: ℙ,
less_than: a < b,
squash: ↓T,
pi1: fst(t),
pi2: snd(t),
subtype_rel: A ⊆r B,
so_apply: x[s]
Latex:
\mforall{}[f:SecurityData {}\mrightarrow{} (Atom1?)]. \mforall{}[A:Id]. \mforall{}[pas:ProtocolAction List].
(ses-fresh-sequence(f;A;pas) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-PM-00_38_45
Last ObjectModification:
2016_01_18-AM-07_42_16
Theory : event-logic-applications
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