Theorems · Theorem · measure theory
measurable_smul_const
∀ {α : Type u_1} [inst : MeasurableSpace α] {𝕜 : Type u_2} [inst_1 : NontriviallyNormedField 𝕜] [CompleteSpace 𝕜]
[inst_3 : MeasurableSpace 𝕜] [BorelSpace 𝕜] {E : Type u_3} [inst_5 : NormedAddCommGroup E] [inst_6 : NormedSpace 𝕜 E]
[inst_7 : MeasurableSpace E] [BorelSpace E] {f : α → 𝕜} {c : E},
c ≠ 0 → ((Measurable fun x => f x • c) ↔ Measurable f)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- CompleteSpacestatement and proof · cited by 2,532
- BorelSpacestatement and proof · cited by 1,602
- Measurablestatement · cited by 1,499
- Topology.IsClosedEmbedding.measurableEmbeddingproof · cited by 16
- isClosedEmbedding_smul_leftproof · cited by 5
- MeasurableEmbedding.measurable_comp_iffproof · cited by 2
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