Nuprl Lemma : iproper_wf
∀[I:Interval]. (iproper(I) ∈ ℙ)
Proof
Definitions occuring in Statement :
iproper: iproper(I),
interval: Interval,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
iproper: iproper(I),
implies: P ⇒ Q,
prop: ℙ,
uimplies: b supposing a
Lemmas referenced :
i-finite_wf,
rless_wf,
left-endpoint_wf,
right-endpoint_wf,
interval_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
functionEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
independent_isectElimination,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[I:Interval]. (iproper(I) \mmember{} \mBbbP{})
Date html generated:
2016_05_18-AM-08_18_14
Last ObjectModification:
2015_12_27-PM-11_57_19
Theory : reals
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