Nuprl Lemma : q-rel-lub_wf
∀[r1,r2:ℤ]. (q-rel-lub(r1;r2) ∈ ℤ)
Proof
Definitions occuring in Statement :
q-rel-lub: q-rel-lub(r1;r2),
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
q-rel-lub: q-rel-lub(r1;r2),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
ifthenelse_wf,
eq_int_wf,
band_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
natural_numberEquality,
hypothesis,
intEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[r1,r2:\mBbbZ{}]. (q-rel-lub(r1;r2) \mmember{} \mBbbZ{})
Date html generated:
2016_05_15-PM-11_18_12
Last ObjectModification:
2015_12_27-PM-07_34_55
Theory : rationals
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