Nuprl Lemma : rsub_wf
∀[x,y:ℝ]. (x - y ∈ ℝ)
Proof
Definitions occuring in Statement :
rsub: x - y,
real: ℝ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rsub: x - y
Lemmas referenced :
radd_wf,
rminus_wf,
real_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
Latex:
\mforall{}[x,y:\mBbbR{}]. (x - y \mmember{} \mBbbR{})
Date html generated:
2016_05_18-AM-06_55_04
Last ObjectModification:
2015_12_28-AM-00_31_23
Theory : reals
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