Nuprl Lemma : st-decrypt_wf
∀[T:Id ⟶ Type]. ∀[tab:secret-table(T)]. ∀[kx:ℕ + Atom1 × Atom1]. (decrypt(tab;kx) ∈ data(T)?)
Proof
Definitions occuring in Statement :
st-decrypt: decrypt(tab;kval),
secret-table: secret-table(T),
data: data(T),
Id: Id,
nat: ℕ,
atom: Atom$n,
uall: ∀[x:A]. B[x],
unit: Unit,
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
union: left + right,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
st-decrypt: decrypt(tab;kval),
all: ∀x:A. B[x],
implies: P ⇒ Q,
exposed-bfalse: exposed-bfalse,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
outl: outl(x),
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
isl: isl(x),
not: ¬A,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[T:Id {}\mrightarrow{} Type]. \mforall{}[tab:secret-table(T)]. \mforall{}[kx:\mBbbN{} + Atom1 \mtimes{} Atom1]. (decrypt(tab;kx) \mmember{} data(T)?)
Date html generated:
2016_05_16-AM-10_03_23
Last ObjectModification:
2015_12_28-PM-09_28_40
Theory : new!event-ordering
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