Nuprl Lemma : rmin-req2
∀[x,y:ℝ]. rmin(x;y) = x supposing x ≤ y
Proof
Definitions occuring in Statement :
rleq: x ≤ y,
rmin: rmin(x;y),
req: x = y,
real: ℝ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
member: t ∈ T,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P ∧ Q,
rev_uimplies: rev_uimplies(P;Q),
implies: P ⇒ Q,
prop: ℙ
Latex:
\mforall{}[x,y:\mBbbR{}]. rmin(x;y) = x supposing x \mleq{} y
Date html generated:
2020_05_20-AM-10_58_14
Last ObjectModification:
2020_01_02-PM-02_13_28
Theory : reals
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