Theorems · Theorem · measure theory
MeasureTheory.Content.measure.congr_simp
∀ {G : Type w} [inst : TopologicalSpace G] (μ μ_1 : MeasureTheory.Content G),
μ = μ_1 → ∀ [inst_1 : R1Space G] [S : MeasurableSpace G] [inst_2 : BorelSpace G], μ.measure = μ_1.measure- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 171 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.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- BorelSpacestatement and proof · cited by 1,602
- R1Spacestatement and proof · cited by 125
- MeasureTheory.Contentstatement and proof · cited by 60
- MeasureTheory.Content.measurestatement and proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- NNRealRMK.integral_rieszMeasureproof · cited by 3