Theorems · Theorem · measure theory
Real.map_volume_mul_left
∀ {a : ℝ},
a ≠ 0 → MeasureTheory.Measure.map (fun x => a * x) MeasureTheory.volume = ENNReal.ofReal |a⁻¹| • MeasureTheory.volume- Cited by
- 2 results in Mathlib
- Foundations
- Depth 248 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- absstatement and proof · cited by 1,814
- one_smulproof · cited by 1,374
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- ENNReal.ofRealstatement and proof · cited by 863
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- smul_smulproof · cited by 360
- inv_mul_cancel₀proof · cited by 267
- abs_nonnegproof · cited by 168
- abs_mulproof · cited by 98
Cited by2
Results whose statement or proof uses this declaration.
- Real.map_volume_mul_rightproof · cited by 1
- Real.volume_preimage_mul_leftproof · cited by 1