Theorems · Definition · complex analysis
Complex.wedgeIntegral
{E : Type u_1} → [inst : NormedAddCommGroup E] → [NormedSpace ℂ E] → ℂ → ℂ → (ℂ → E) → EThe (z, w)-wedge-integral of f, is the integral of f over two sides of the rectangle
determined by z and w.
- Defined in
- Mathlib.Analysis.Complex.HasPrimitives
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 251 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- Complex.ofRealproof · cited by 1,654
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- Complex.reproof · cited by 882
- Complex.Iproof · cited by 866
- Complex.improof · cited by 591
- intervalIntegralproof · cited by 546
Cited by6
Results whose statement or proof uses this declaration.
- Complex.IsConservativeOnproof · cited by 7
- Complex.IsConservativeOn.hasDerivAt_wedgeIntegralstatement and proof · cited by 2
- Complex.IsConservativeOn.isExactOn_ballproof · cited by 2
- Complex.wedgeIntegral_add_wedgeIntegral_eqstatement · cited by 2
- Complex.IsConservativeOn.isExactOn_univproof · cited by 1
- Complex.IsConservativeOn.eventually_nhds_wedgeIntegral_sub_wedgeIntegralstatement · cited by 1