Theorems · Theorem · complex analysis
Complex.exp_int_mul
∀ (z : ℂ) (n : ℤ), Complex.exp (↑n * z) = Complex.exp z ^ n
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- pow_oneproof · cited by 894
- neg_mulproof · cited by 654
- Complex.expstatement and proof · cited by 612
- Nat.cast_addproof · cited by 586
- Int.cast_natCastproof · cited by 393
- add_mulproof · cited by 363
- pow_addproof · cited by 315
- zpow_natCastproof · cited by 271
- mul_inv_revproof · cited by 270
Cited by3
Results whose statement or proof uses this declaration.
- Complex.cpow_int_mulproof · cited by 3
- jacobiTheta₂_add_rightproof · cited by 1
- jacobiTheta₂'_add_rightproof · cited by 0