Nuprl Lemma : rabs_wf
∀[x:ℝ]. (|x| ∈ ℝ)
Proof
Definitions occuring in Statement :
rabs: |x|,
real: ℝ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top
Lemmas referenced :
rabs-as-rmax,
rmax_wf,
rminus_wf,
real_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
cut,
lemma_by_obid,
sqequalHypSubstitution,
sqequalTransitivity,
computationStep,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
isect_memberFormation,
introduction,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[x:\mBbbR{}]. (|x| \mmember{} \mBbbR{})
Date html generated:
2016_05_18-AM-07_00_02
Last ObjectModification:
2015_12_28-AM-00_32_53
Theory : reals
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