Nuprl Lemma : i-finite_wf
∀[J:Interval]. (i-finite(J) ∈ ℙ)
Proof
Definitions occuring in Statement :
i-finite: i-finite(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,
i-finite: i-finite(I),
interval: Interval
Lemmas referenced :
and_wf,
assert_wf,
isl_wf,
real_wf,
top_wf,
interval_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
sqequalHypSubstitution,
productElimination,
thin,
lemma_by_obid,
isectElimination,
unionEquality,
hypothesis,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[J:Interval]. (i-finite(J) \mmember{} \mBbbP{})
Date html generated:
2016_05_18-AM-08_17_05
Last ObjectModification:
2015_12_27-PM-11_58_16
Theory : reals
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