Nuprl Lemma : rat-point-interval_wf
∀[a:ℚ]. ([a] ∈ ℚInterval)
Proof
Definitions occuring in Statement :
rat-point-interval: [a],
rational-interval: ℚInterval,
rationals: ℚ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
prop: ℙ,
rational-interval: ℚInterval,
rat-point-interval: [a],
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
rationals_wf,
qle_wf,
qle_reflexivity
Rules used in proof :
equalitySymmetry,
equalityTransitivity,
axiomEquality,
inhabitedIsType,
setIsType,
universeIsType,
dependent_set_memberEquality_alt,
hypothesis,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
hypothesisEquality,
dependent_pairEquality_alt,
sqequalRule,
cut,
introduction,
isect_memberFormation_alt,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[a:\mBbbQ{}]. ([a] \mmember{} \mBbbQ{}Interval)
Date html generated:
2019_10_29-AM-07_46_57
Last ObjectModification:
2019_10_17-AM-11_09_04
Theory : rationals
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