Theorems · Definition · general topology
MeasureTheory.embeddingReal
(Ω : Type u_2) → [inst : MeasurableSpace Ω] → [StandardBorelSpace Ω] → Ω → ℝ
A measurable embedding of a standard Borel space into ℝ.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- StandardBorelSpacestatement and proof · cited by 304
- MeasureTheory.exists_measurableEmbedding_realproof · cited by 1
Cited by13
Results whose statement or proof uses this declaration.
- MeasureTheory.measurableEmbedding_embeddingRealstatement · cited by 7
- ProbabilityTheory.Kernel.borelMarkovFromRealproof · cited by 5
- ProbabilityTheory.eq_condKernel_of_measure_eq_compProdproof · cited by 3
- ProbabilityTheory.Kernel.condKernelUnitBorelproof · cited by 3
- MeasureTheory.measurable_embeddingRealstatement · cited by 2
- ProbabilityTheory.Kernel.condKernelBorelproof · cited by 2
- ProbabilityTheory.Kernel.compProd_fst_borelMarkovFromReal_eq_comapRight_compProdstatement and proof · cited by 1
- measurableEmbedding_sigmoid_comp_embeddingRealstatement · cited by 1
- ProbabilityTheory.Kernel.borelMarkovFromReal_applystatement and proof · cited by 1
- ProbabilityTheory.Kernel.exists_measurable_map_eq_unitIntervalproof · cited by 1
- MeasureTheory.embeddingReal.congr_simpstatement and proof · cited by 0
- ProbabilityTheory.Kernel.compProd_fst_borelMarkovFromRealstatement and proof · cited by 0