Theorems · Theorem · complex analysis
Complex.cpow_int_mul
∀ (x : ℂ) (n : ℤ) (y : ℂ), x ^ (↑n * y) = (x ^ y) ^ n
See also Complex.cpow_int_mul'.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- eq_or_neproof · cited by 1,117
- pow_zeroproof · cited by 1,094
- Complex.expproof · cited by 612
- Int.cast_zeroproof · cited by 188
- Complex.logproof · cited by 187
- mul_left_commproof · cited by 184
- zpow_ofNatproof · cited by 144
- one_zpowproof · cited by 44
- Complex.zero_cpowproof · cited by 29
Cited by3
Results whose statement or proof uses this declaration.
- Complex.cpow_nat_mulproof · cited by 4
- Complex.cpow_intCastproof · cited by 4
- Complex.cpow_mul_intproof · cited by 0