Theorems · Theorem · measure theory
MeasurableEquiv.measurableEmbedding
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] (e : α ≃ᵐ β),
MeasurableEmbedding ⇑eA measurable equivalence is a measurable embedding.
- Cited by
- 60 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, 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.
- DFunLike.coestatement · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableEquivstatement and proof · cited by 269
- MeasurableEmbeddingstatement · cited by 170
- MeasurableEquiv.measurableproof · cited by 57
- MeasurableEquiv.measurableSet_imageproof · cited by 4
- MeasurableEquiv.injectiveproof · cited by 2
Cited by60
Results whose statement or proof uses this declaration.
- MeasurableEquiv.map_applyproof · cited by 26
- Homeomorph.measurableEmbeddingproof · cited by 21
- MeasureTheory.integral_map_equivproof · cited by 16
- MeasureTheory.lintegral_map_equivproof · cited by 10
- MeasureTheory.integral_add_right_eq_selfproof · cited by 7
- measurableEmbedding_const_smulproof · cited by 6
- measurableEmbedding_const_vaddproof · cited by 6
- MeasureTheory.integral_add_left_eq_selfproof · cited by 6
- MeasureTheory.integral_mul_left_eq_selfproof · cited by 4
- MeasureTheory.integral_neg_eq_selfproof · cited by 4
- MeasureTheory.MeasurePreserving.integral_comp'proof · cited by 4
- measurableEmbedding_subRightproof · cited by 3