Nuprl Lemma : rat-to-real_wf
∀[a:ℤ]. ∀[b:ℤ-o]. (r(a/b) ∈ ℝ)
Proof
Definitions occuring in Statement :
rat-to-real: r(a/b),
real: ℝ,
int_nzero: ℤ-o,
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rat-to-real: r(a/b)
Lemmas referenced :
int-rdiv_wf,
int-to-real_wf,
int_nzero_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
intEquality
Latex:
\mforall{}[a:\mBbbZ{}]. \mforall{}[b:\mBbbZ{}\msupminus{}\msupzero{}]. (r(a/b) \mmember{} \mBbbR{})
Date html generated:
2016_05_18-AM-06_56_49
Last ObjectModification:
2015_12_28-AM-00_31_52
Theory : reals
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