Theorems · Theorem · measure theory
MeasureTheory.ProbabilityMeasure.toFiniteMeasure_isEmbedding
∀ (Ω : Type u_2) [inst : MeasurableSpace Ω] [inst_1 : TopologicalSpace Ω] [inst_2 : OpensMeasurableSpace Ω], Topology.IsEmbedding MeasureTheory.ProbabilityMeasure.toFiniteMeasure
The canonical mapping from probability measures to finite measures is an embedding.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, 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.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- OpensMeasurableSpacestatement and proof · cited by 636
- Topology.IsEmbeddingstatement · cited by 294
- MeasureTheory.FiniteMeasurestatement · cited by 150
- MeasureTheory.ProbabilityMeasurestatement and proof · cited by 127
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
- MeasureTheory.ProbabilityMeasure.toFiniteMeasurestatement and proof · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- isCompact_setOfPred_probabilityMeasure_mass_eq_compl_isCompact_leproof · cited by 2