Nuprl Lemma : st-next_wf
∀[T:Id ⟶ Type]. ∀[tab:secret-table(T)]. (next(tab) ∈ ℕ||tab|| × Atom1?)
Proof
Definitions occuring in Statement :
st-next: next(tab),
st-length: ||tab|| ,
secret-table: secret-table(T),
Id: Id,
int_seg: {i..j-},
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,
natural_number: $n,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
st-next: next(tab),
subtype_rel: A ⊆r B,
nat: ℕ,
int_seg: {i..j-},
lelt: i ≤ j < k,
and: P ∧ Q,
all: ∀x:A. B[x],
decidable: Dec(P),
or: P ∨ Q,
guard: {T},
prop: ℙ,
ge: i ≥ j ,
uimplies: b supposing a,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
implies: P ⇒ Q,
not: ¬A,
top: Top,
exposed-bfalse: exposed-bfalse,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
ifthenelse: if b then t else f fi ,
bfalse: ff
Latex:
\mforall{}[T:Id {}\mrightarrow{} Type]. \mforall{}[tab:secret-table(T)]. (next(tab) \mmember{} \mBbbN{}||tab|| \mtimes{} Atom1?)
Date html generated:
2016_05_16-AM-10_03_16
Last ObjectModification:
2016_01_17-PM-01_21_23
Theory : new!event-ordering
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