Nuprl Lemma : int-moebius_wf
∀[n:ℕ+]. (int-moebius(n) ∈ ℤ)
Proof
Definitions occuring in Statement :
int-moebius: int-moebius(n),
nat_plus: ℕ+,
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
int-moebius: int-moebius(n),
subtype_rel: A ⊆r B,
uimplies: b supposing a,
Prime: Prime,
so_lambda: λ2x.t[x],
int_upper: {i...},
so_apply: x[s]
Lemmas referenced :
bag-moebius_wf,
Prime_wf,
int-deq_wf,
strong-subtype-deq-subtype,
strong-subtype-set3,
int_upper_wf,
prime_wf,
le_wf,
strong-subtype-self,
factors_wf,
nat_plus_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
applyEquality,
intEquality,
independent_isectElimination,
natural_numberEquality,
lambdaEquality,
setElimination,
rename,
hypothesisEquality,
because_Cache,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[n:\mBbbN{}\msupplus{}]. (int-moebius(n) \mmember{} \mBbbZ{})
Date html generated:
2016_05_15-PM-09_50_34
Last ObjectModification:
2015_12_27-PM-04_39_03
Theory : power!series
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