bookshelf/shared/Bookshelf/Real/Rational.lean

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import Bookshelf.Real.Basic
/--
Assert that a real number is rational.
Note this does *not* require the found rational to be in reduced form. Members
of `` expect this (by proving the numerator and denominator are coprime).
-/
def rational (x : ) := ∃ a : , ∃ b : , b ≠ 0 ∧ x = a / b
/--
Assert that a real number is irrational.
-/
def irrational (x : ) := ¬ rational x