Nuprl Lemma : qrep-denom
∀[r:ℚ]. (qrep(r) ∈ ℤ × ℕ+)
Proof
Definitions occuring in Statement :
qrep: qrep(r),
rationals: ℚ,
nat_plus: ℕ+,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
qrep_wf,
rationals_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[r:\mBbbQ{}]. (qrep(r) \mmember{} \mBbbZ{} \mtimes{} \mBbbN{}\msupplus{})
Date html generated:
2016_05_15-PM-10_39_06
Last ObjectModification:
2015_12_27-PM-07_59_17
Theory : rationals
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