Theorems · Theorem · complex analysis
circleIntegral.integral_sub_center_inv
∀ (c : ℂ) {R : ℝ}, R ≠ 0 → ∮ (z : ℂ) in C(c, R), (z - c)⁻¹ = 2 * ↑Real.pi * Complex.I- Cited by
- 2 results in Mathlib
- Foundations
- Depth 257 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.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- sub_zeroproof · cited by 938
- Complex.Istatement and proof · cited by 866
- intervalIntegralproof · cited by 546
- Complex.ofReal_mulproof · cited by 180
- circleMapproof · cited by 117
- mul_div_cancel_left₀proof · cited by 111
- circleIntegralstatement · cited by 60
Cited by2
Results whose statement or proof uses this declaration.
- circleIntegral.integral_sub_inv_of_mem_ballproof · cited by 1