Theorems · Theorem · measure theory
MeasureTheory.withDensity_one
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}, μ.withDensity 1 = μ- Cited by
- 8 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- one_mulproof · cited by 2,841
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.Measure.withDensitystatement · cited by 265
- Set.univ_interproof · cited by 258
- MeasureTheory.Measure.restrict_applyproof · cited by 159
- MeasureTheory.lintegral_constproof · cited by 123
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.rnDeriv_selfproof · cited by 6
- MeasureTheory.pdf.IsUniform.pdf_eqproof · cited by 3
- MeasureTheory.Measure.rnDeriv_eq_one_iff_eqproof · cited by 2
- ProbabilityTheory.Kernel.withDensity_oneproof · cited by 1
- MeasureTheory.pdf.IsUniform.hasPDFproof · cited by 1
- MeasureTheory.withDensity_indicator_oneproof · cited by 1
- MeasureTheory.withDensity_inv_same₀proof · cited by 1
- MeasureTheory.withDensity_inv_same_leproof · cited by 0