Theorems · Theorem · complex analysis
Complex.cpow_nat_mul
∀ (x : ℂ) (n : ℕ) (y : ℂ), x ^ (↑n * y) = (x ^ y) ^ n
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Int.cast_natCastproof · cited by 393
- zpow_natCastproof · cited by 271
- Complex.cpow_int_mulproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Complex.cpow_natCastproof · cited by 12
- Complex.cpow_nat_inv_powproof · cited by 3
- Complex.cpow_mul_natproof · cited by 1
- Complex.cpow_ofNat_mulproof · cited by 0