Nuprl Lemma : mFO-dest-atomic_wf
∀[T:Type]. ∀[F:Atom ─→ (ℤ List) ─→ (T?)]. ∀[fmla:mFOL()]. (let nm,vars = dest-atomic(fmla) inF[nm;vars] ∈ T?)
Proof
Definitions occuring in Statement :
mFO-dest-atomic: mFO-dest-atomic,
mFOL: mFOL(),
list: T List,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
unit: Unit,
member: t ∈ T,
function: x:A ─→ B[x],
union: left + right,
int: ℤ,
atom: Atom,
universe: Type
Lemmas :
mFOatomic?_wf,
bool_wf,
eqtt_to_assert,
mFOatomic-name_wf,
mFOatomic-vars_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
it_wf,
mFOL_wf,
list_wf,
unit_wf2
\mforall{}[T:Type]. \mforall{}[F:Atom {}\mrightarrow{} (\mBbbZ{} List) {}\mrightarrow{} (T?)]. \mforall{}[fmla:mFOL()].
(let nm,vars = dest-atomic(fmla) in
F[nm;vars] \mmember{} T?)
Date html generated:
2015_07_17-AM-07_53_58
Last ObjectModification:
2015_01_27-AM-10_06_44
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