have : a * d ≃ c * b := ‹a//b ≃ c//d›
ℕ : Type
inst✝¹ : Natural ℕ
ℤ : Type
inst✝ : Integer ℤ
a b : ℤ
denominator_positive✝¹ : AP (Positive b)
c d : ℤ
denominator_positive✝ : AP (Positive d)
x✝ : a//b ≃ c//d
⊢ sgn (a//b) ≃ sgn (c//d)
ℕ : Type
inst✝¹ : Natural ℕ
ℤ : Type
inst✝ : Integer ℤ
a b : ℤ
denominator_positive✝¹ : AP (Positive b)
c d : ℤ
denominator_positive✝ : AP (Positive d)
x✝ : a//b ≃ c//d
this : a * d ≃ c * b
⊢ sgn (a//b) ≃ sgn (c//d)