Nuprl Lemma : st-key_wf
∀[T:Id ⟶ Type]. ∀[tab:secret-table(T)]. ∀[n:ℕ||tab|| ]. (key(tab;n) ∈ ℕ + Atom1)
Proof
Definitions occuring in Statement :
st-key: key(tab;n),
st-length: ||tab|| ,
secret-table: secret-table(T),
Id: Id,
int_seg: {i..j-},
nat: ℕ,
atom: Atom$n,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
union: left + right,
natural_number: $n,
universe: Type
Definitions unfolded in proof :
st-key: key(tab;n),
st-length: ||tab|| ,
secret-table: secret-table(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
pi2: snd(t),
pi1: fst(t),
all: ∀x:A. B[x],
implies: P ⇒ Q,
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
uimplies: b supposing a,
top: Top,
nat: ℕ
Latex:
\mforall{}[T:Id {}\mrightarrow{} Type]. \mforall{}[tab:secret-table(T)]. \mforall{}[n:\mBbbN{}||tab|| ]. (key(tab;n) \mmember{} \mBbbN{} + Atom1)
Date html generated:
2016_05_16-AM-10_01_32
Last ObjectModification:
2015_12_28-PM-09_29_12
Theory : new!event-ordering
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