Nuprl Lemma : qdist_wf
∀[r,s:ℚ]. (qdist(r;s) ∈ ℚ)
Proof
Definitions occuring in Statement :
qdist: qdist(r;s),
rationals: ℚ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
qdist: qdist(r;s),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
qabs_wf,
qsub_wf,
rationals_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[r,s:\mBbbQ{}]. (qdist(r;s) \mmember{} \mBbbQ{})
Date html generated:
2016_05_15-PM-11_05_14
Last ObjectModification:
2015_12_27-PM-07_45_49
Theory : rationals
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