Nuprl Lemma : rmax-req2
∀[x,y:ℝ]. rmax(x;y) = x supposing y ≤ x
Proof
Definitions occuring in Statement :
rleq: x ≤ y,
rmax: rmax(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{}]. rmax(x;y) = x supposing y \mleq{} x
Date html generated:
2020_05_20-AM-10_58_06
Last ObjectModification:
2020_01_02-PM-02_13_36
Theory : reals
Home
Index