Nuprl Lemma : st-length-encrypt
∀[T:Id ⟶ Type]. ∀[tab:secret-table(T)]. ∀[keyv:ℕ + Atom1 × data(T)].  (||encrypt(tab;keyv)||  = ||tab||  ∈ ℤ)
Proof
Definitions occuring in Statement : 
st-encrypt: encrypt(tab;keyv)
, 
st-length: ||tab|| 
, 
secret-table: secret-table(T)
, 
data: data(T)
, 
Id: Id
, 
nat: ℕ
, 
atom: Atom$n
, 
uall: ∀[x:A]. B[x]
, 
function: x:A ⟶ B[x]
, 
product: x:A × B[x]
, 
union: left + right
, 
int: ℤ
, 
universe: Type
, 
equal: s = t ∈ T
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
secret-table: secret-table(T)
, 
st-encrypt: encrypt(tab;keyv)
, 
spreadn: spread3, 
nat: ℕ
, 
st-length: ||tab|| 
, 
pi1: fst(t)
, 
subtype_rel: A ⊆r B
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
btrue: tt
, 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
uimplies: b supposing a
, 
ifthenelse: if b then t else f fi 
, 
bfalse: ff
, 
guard: {T}
Latex:
\mforall{}[T:Id  {}\mrightarrow{}  Type].  \mforall{}[tab:secret-table(T)].  \mforall{}[keyv:\mBbbN{}  +  Atom1  \mtimes{}  data(T)].
    (||encrypt(tab;keyv)||    =  ||tab||  )
Date html generated:
2016_05_16-AM-10_03_57
Last ObjectModification:
2015_12_28-PM-09_30_10
Theory : new!event-ordering
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