Theorems · Theorem · complex analysis
CircleIntegrable.add
∀ {E : Type u_1} [inst : NormedAddCommGroup E] {f g : ℂ → E} {c : ℂ} {R : ℝ},
CircleIntegrable f c R → CircleIntegrable g c R → CircleIntegrable (f + g) c R- Cited by
- 5 results in Mathlib
- Foundations
- Depth 244 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Complexstatement and proof · cited by 5,565
- CircleIntegrablestatement and proof · cited by 86
- IntervalIntegrable.addproof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- MeromorphicOn.circleIntegrable_log_normproof · cited by 11
- MeromorphicOn.circleIntegrable_posLog_normproof · cited by 7
- ValueDistribution.proximity_mul_top_leproof · cited by 2
- ValueDistribution.circleIntegrable_logCountingproof · cited by 2
- CircleIntegrable.fun_addproof · cited by 1