Theorems · Theorem · complex analysis
circleIntegral.integral_undef
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : ℂ → E} {c : ℂ} {R : ℝ},
¬CircleIntegrable f c R → ∮ (z : ℂ) in C(c, R), f z = 0- 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.
Cites8
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- CircleIntegrablestatement and proof · cited by 86
- circleIntegralstatement · cited by 60
- intervalIntegral.integral_undefproof · cited by 3
- circleIntegrable_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- circleIntegral.integral_eq_zero_of_hasDerivWithinAt'proof · cited by 2
- circleIntegral.integral_sub_zpow_of_undefproof · cited by 1