Nuprl Lemma : st-key-match_wf
∀[T:Id ⟶ Type]. ∀[tab:secret-table(T)]. ∀[k1,k2:ℕ + Atom1]. (st-key-match(tab;k1;k2) ∈ 𝔹)
Proof
Definitions occuring in Statement :
st-key-match: st-key-match(tab;k1;k2),
secret-table: secret-table(T),
Id: Id,
nat: ℕ,
atom: Atom$n,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
union: left + right,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
st-key-match: st-key-match(tab;k1;k2),
nat: ℕ,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
band: p ∧b q,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
int_seg: {i..j-},
lelt: i ≤ j < k,
le: A ≤ B,
assert: ↑b,
false: False
Latex:
\mforall{}[T:Id {}\mrightarrow{} Type]. \mforall{}[tab:secret-table(T)]. \mforall{}[k1,k2:\mBbbN{} + Atom1]. (st-key-match(tab;k1;k2) \mmember{} \mBbbB{})
Date html generated:
2016_05_16-AM-10_03_01
Last ObjectModification:
2015_12_28-PM-09_28_08
Theory : new!event-ordering
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