Nuprl Lemma : rooint_wf
∀[l,u:ℝ]. ((l, u) ∈ Interval)
Proof
Definitions occuring in Statement :
rooint: (l, u),
interval: Interval,
real: ℝ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
rooint: (l, u),
interval: Interval,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
real_wf,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
independent_pairEquality,
inlEquality,
inrEquality,
hypothesisEquality,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
isectElimination,
thin,
because_Cache
Latex:
\mforall{}[l,u:\mBbbR{}]. ((l, u) \mmember{} Interval)
Date html generated:
2016_05_18-AM-08_21_42
Last ObjectModification:
2015_12_27-PM-11_54_50
Theory : reals
Home
Index