Theorems · Theorem · measure theory
MeasureTheory.Measure.toSignedMeasure.congr_simp
∀ {α : Type u_1} {m : MeasurableSpace α} (μ μ_1 : MeasureTheory.Measure α) (e_μ : μ = μ_1)
[hμ : MeasureTheory.IsFiniteMeasure μ], μ.toSignedMeasure = μ_1.toSignedMeasure- Cited by
- 3 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Measurestatement and proof · cited by 10,939
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.SignedMeasurestatement · cited by 108
- MeasureTheory.Measure.toSignedMeasurestatement and proof · cited by 36
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.toSignedMeasure_toJordanDecompositionproof · cited by 10
- MeasureTheory.SignedMeasure.singularPart_negproof · cited by 2
- MeasureTheory.Measure.toSignedMeasure_restrict_subproof · cited by 1