Theorems · Theorem · measure theory
Topology.IsClosedEmbedding.measurableEmbedding
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [mα : MeasurableSpace α] [BorelSpace α]
[mβ : TopologicalSpace β] [inst_2 : MeasurableSpace β] [BorelSpace β] {f : α → β},
Topology.IsClosedEmbedding f → MeasurableEmbedding f- Cited by
- 16 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- BorelSpacestatement and proof · cited by 1,602
- Topology.IsClosedEmbeddingstatement and proof · cited by 195
- MeasurableEmbeddingstatement · cited by 170
- IsClosed.measurableSetproof · cited by 65
- Topology.IsClosedEmbedding.isClosed_rangeproof · cited by 41
- Topology.IsClosedEmbedding.isEmbeddingproof · cited by 25
- Topology.IsEmbedding.measurableEmbeddingproof · cited by 3
Cited by16
Results whose statement or proof uses this declaration.
- intervalIntegral.integral_comp_add_rightproof · cited by 9
- IntervalIntegrable.comp_mul_leftproof · cited by 6
- Topology.IsEmbedding.aestronglyMeasurable_comp_iffproof · cited by 6
- IntervalIntegrable.comp_add_rightproof · cited by 6
- intervalIntegral.integral_comp_mul_rightproof · cited by 3
- isCompact_setOfPred_finiteMeasure_le_of_isCompactproof · cited by 2
- Topology.IsClosedEmbedding.integral_mapproof · cited by 2
- integral_comp_neg_Iicproof · cited by 2
- Topology.IsClosedEmbedding.continuousOn_comap_finiteMeasureproof · cited by 1
- Topology.IsClosedEmbedding.integral_map_vectorMeasureproof · cited by 0
- aemeasurable_smul_constproof · cited by 0
- Topology.IsClosedEmbedding.setIntegral_mapproof · cited by 0