Nuprl Lemma : rmul*_wf
∀[x,y:ℝ*]. (x * y ∈ ℝ*)
Proof
Definitions occuring in Statement :
rmul*: x * y,
real*: ℝ*,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rmul*: x * y
Lemmas referenced :
rfun*2_wf,
rmul_wf,
real_wf,
real*_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
lambdaEquality,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[x,y:\mBbbR{}*]. (x * y \mmember{} \mBbbR{}*)
Date html generated:
2018_05_22-PM-03_16_22
Last ObjectModification:
2017_10_06-PM-02_38_44
Theory : reals_2
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