Nuprl Lemma : rmul_over_rminus
∀[a,b:ℝ]. (((-(a) * b) = -(a * b)) ∧ ((a * -(b)) = -(a * b)))
Proof
Definitions occuring in Statement :
req: x = y,
rmul: a * b,
rminus: -(x),
real: ℝ,
uall: ∀[x:A]. B[x],
and: P ∧ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P ∧ Q,
rev_uimplies: rev_uimplies(P;Q),
cand: A c∧ B,
implies: P ⇒ Q,
guard: {T}
Latex:
\mforall{}[a,b:\mBbbR{}]. (((-(a) * b) = -(a * b)) \mwedge{} ((a * -(b)) = -(a * b)))
Date html generated:
2020_05_20-AM-10_53_42
Last ObjectModification:
2019_12_14-PM-00_53_53
Theory : reals
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