Theorems · Theorem · complex analysis
DifferentiableOn.isConservativeOn
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : ℂ → E} {U : Set ℂ},
DifferentiableOn ℂ f U → Complex.IsConservativeOn f U- Defined in
- Mathlib.Analysis.Complex.HasPrimitives
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 271 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- DifferentiableOnstatement and proof · cited by 419
- add_eq_zero_iff_eq_negproof · cited by 49
- DifferentiableOn.monoproof · cited by 39
- Complex.IsConservativeOnstatement · cited by 7
- Complex.Rectangleproof · cited by 5
- Complex.wedgeIntegral_add_wedgeIntegral_eqproof · cited by 2
- Complex.integral_boundary_rect_eq_zero_of_differentiableOnproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Complex.isConservativeOn_and_continuousOn_iff_isDifferentiableOnproof · cited by 1
- DifferentiableOn.isExactOn_ballproof · cited by 1