calc
  _ ≃ abs (p^0) := eqv_refl
  _ ≃ abs 1     := abs_subst pow_zero
  _ ≃ 1         := ‹abs (1:ℚ) ≃ 1›
  _ ≃ (abs p)^0 := eqv_symm pow_zero
ℕ ℤ : Type
inst✝¹² : Natural ℕ
inst✝¹¹ : Integer ℤ
ℚ : Type
inst✝¹⁰ : Core ℚ
inst✝⁹ : Addition ℚ
inst✝⁸ : Multiplication ℚ
inst✝⁷ : Negation ℚ
inst✝⁶ : Subtraction ℚ
inst✝⁵ : Reciprocation ℚ
inst✝⁴ : Division ℚ
inst✝³ : Sign ℚ
inst✝² : Order ℚ
inst✝¹ : Metric ℚ
inst✝ : Natural.Exponentiation ℕ fun x x_1 => x * x_1
p : ℚ
n : ℕ
this✝ : sgn 1 ≃ 1
this : abs 1 ≃ 1
⊢ abs (p ^ 0) ≃ abs p ^ 0
no goals