Problem #PRU-60552

Problems Algebra and arithmetic Number theory. Divisibility Divisibility of a number. General properties Calculus Real numbers Integer and fractional parts. Archimedean property
 12–14  2.0

Problem

Prove that for a real positive α and a positive integer d, ⌊α/d⌋=⌊⌊α⌋/d⌋ is always satisfied.