Theorems · Theorem · complex analysis
Meromorphic.measurable
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f : 𝕜 → E} [inst_3 : MeasurableSpace 𝕜] [SecondCountableTopology 𝕜] [BorelSpace 𝕜]
[inst_6 : MeasurableSpace E] [CompleteSpace E] [BorelSpace E], Meromorphic f → Measurable fMeromorphic functions are measurable.
- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.univproof · cited by 3,945
- Compl.complproof · cited by 2,925
- CompleteSpacestatement and proof · cited by 2,532
- IsOpenproof · cited by 2,400
- BorelSpacestatement and proof · cited by 1,602
Cited by2
Results whose statement or proof uses this declaration.
- ValueDistribution.Cartan.integrableOn_cartanKernelproof · cited by 3
- ValueDistribution.Cartan.integrable_integral_norm_cartanKernelproof · cited by 1