Theorems · Definition · measure theory
MeasureTheory.FiniteMeasure.map
{Ω : Type u_1} →
{Ω' : Type u_2} →
[inst : MeasurableSpace Ω] →
[inst_1 : MeasurableSpace Ω'] → MeasureTheory.FiniteMeasure Ω → (Ω → Ω') → MeasureTheory.FiniteMeasure Ω'The push-forward of a finite measure by a function between measurable spaces.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 201 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.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measure.mapproof · cited by 858
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
Cited by18
Results whose statement or proof uses this declaration.
- isCompact_setOfPred_finiteMeasure_le_of_isCompactproof · cited by 2
- MeasureTheory.FiniteMeasure.continuous_mapstatement · cited by 2
- MeasureTheory.FiniteMeasure.map_apply'statement · cited by 1
- MeasureTheory.FiniteMeasure.map_apply_of_aemeasurablestatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.tendsto_map_of_tendsto_of_continuousstatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.mass_map_lestatement · cited by 1
- MeasureTheory.FiniteMeasure.mapHomproof · cited by 0
- MeasureTheory.FiniteMeasure.map_addstatement and proof · cited by 0
- MeasureTheory.FiniteMeasure.map_applystatement · cited by 0
- MeasureTheory.FiniteMeasure.map_fst_prodstatement and proof · cited by 0
- MeasureTheory.FiniteMeasure.map_prod_mapstatement · cited by 0
- MeasureTheory.FiniteMeasure.map_smulstatement and proof · cited by 0