Nuprl Lemma : rmul-minus
∀[r:ℝ]. ∀[n:ℤ]. ((r * r(-n)) = (-(r) * r(n)))
Proof
Definitions occuring in Statement :
req: x = y,
rmul: a * b,
rminus: -(x),
int-to-real: r(n),
real: ℝ,
uall: ∀[x:A]. B[x],
minus: -n,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
implies: P ⇒ Q,
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P ∧ Q,
rev_uimplies: rev_uimplies(P;Q)
Latex:
\mforall{}[r:\mBbbR{}]. \mforall{}[n:\mBbbZ{}]. ((r * r(-n)) = (-(r) * r(n)))
Date html generated:
2020_05_20-AM-10_53_36
Last ObjectModification:
2020_01_02-PM-02_12_20
Theory : reals
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