Nuprl Lemma : icompact_wf
∀[I:Interval]. (icompact(I) ∈ ℙ)
Proof
Definitions occuring in Statement :
icompact: icompact(I),
interval: Interval,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
icompact: icompact(I),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
and_wf,
i-nonvoid_wf,
i-closed_wf,
i-finite_wf,
interval_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
Latex:
\mforall{}[I:Interval]. (icompact(I) \mmember{} \mBbbP{})
Date html generated:
2016_05_18-AM-08_45_30
Last ObjectModification:
2015_12_27-PM-11_48_51
Theory : reals
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