Theorems · Theorem · measure theory
MeasureTheory.Measure.map_id
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ : MeasureTheory.Measure α}, MeasureTheory.Measure.map id μ = μ- Defined in
- Mathlib.MeasureTheory.Measure.Map
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.mapstatement · cited by 858
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.Measure.map_applyproof · cited by 139
- measurable_idproof · cited by 89
Cited by29
Results whose statement or proof uses this declaration.
- MeasureTheory.MeasurePreserving.symmproof · cited by 43
- MeasureTheory.Measure.QuasiMeasurePreserving.idproof · cited by 14
- MeasureTheory.Measure.map_id'proof · cited by 12
- MeasureTheory.MeasurePreserving.idproof · cited by 10
- ProbabilityTheory.Kernel.map_idproof · cited by 9
- MeasureTheory.Measure.id_compproof · cited by 4
- ProbabilityTheory.condExpKernel_comp_trimproof · cited by 4
- MeasureTheory.Measure.sum_smul_diracproof · cited by 3
- MeasureTheory.Measure.map_linearMap_addHaar_eq_smul_addHaarproof · cited by 3
- ProbabilityTheory.IsGaussian.hasGaussianLaw_idproof · cited by 3
- MeasurableEquiv.map_map_symmproof · cited by 3
- MeasurableEquiv.map_symm_mapproof · cited by 3