Nuprl Lemma : mFOquant-isall_wf
∀[v:mFOL()]. mFOquant-isall(v) ∈ 𝔹 supposing ↑mFOquant?(v)
Proof
Definitions occuring in Statement :
mFOquant-isall: mFOquant-isall(v),
mFOquant?: mFOquant?(v),
mFOL: mFOL(),
assert: ↑b,
bool: 𝔹,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas :
mFOL-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
atom_subtype_base,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
assert_wf,
mFOquant?_wf,
mFOL_wf
\mforall{}[v:mFOL()]. mFOquant-isall(v) \mmember{} \mBbbB{} supposing \muparrow{}mFOquant?(v)
Date html generated:
2015_07_17-AM-07_53_46
Last ObjectModification:
2015_01_27-AM-10_07_00
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