Nuprl Lemma : rabs-rabs
∀[x:ℝ]. (||x|| = |x|)
Proof
Definitions occuring in Statement :
rabs: |x|,
req: x = y,
real: ℝ,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
implies: P ⇒ Q
Lemmas referenced :
rabs-of-nonneg,
zero-rleq-rabs,
req_witness,
rabs_wf,
real_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
because_Cache,
independent_isectElimination,
hypothesis,
hypothesisEquality,
independent_functionElimination
Latex:
\mforall{}[x:\mBbbR{}]. (||x|| = |x|)
Date html generated:
2016_05_18-AM-07_17_36
Last ObjectModification:
2015_12_28-AM-00_44_26
Theory : reals
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