Nuprl Lemma : mFO-dest-quantifier_wf
∀[T:Type]. ∀[F:ℤ ─→ mFOL() ─→ (T?)]. ∀[fmla:mFOL()]. ∀[isall:𝔹].
(let v,b = dest-if isall then all else exists(fmla); in
F[v;b] ∈ T?)
Proof
Definitions occuring in Statement :
mFO-dest-quantifier: mFO-dest-quantifier,
mFOL: mFOL(),
bool: 𝔹,
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,
universe: Type
Lemmas :
mFOquant?_wf,
eqtt_to_assert,
eq_bool_wf,
mFOquant-isall_wf,
bool_wf,
assert_of_eq_bool,
mFOquant-var_wf,
mFOquant-body_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
it_wf,
mFOL_wf,
unit_wf2
\mforall{}[T:Type]. \mforall{}[F:\mBbbZ{} {}\mrightarrow{} mFOL() {}\mrightarrow{} (T?)]. \mforall{}[fmla:mFOL()]. \mforall{}[isall:\mBbbB{}].
(let v,b = dest-if isall then all else exists(fmla); in
F[v;b] \mmember{} T?)
Date html generated:
2015_07_17-AM-07_54_02
Last ObjectModification:
2015_01_27-AM-10_06_43
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