Theorems · Theorem · measure theory
MeasureTheory.Measure.integral_comp_mul_left
∀ {F : Type u_2} [inst : NormedAddCommGroup F] [inst_1 : NormedSpace ℝ F] (g : ℝ → F) (a : ℝ),
∫ (x : ℝ), g (a * x) = |a⁻¹| • ∫ (y : ℝ), g y- Cited by
- 3 results in Mathlib
- Foundations
- Depth 258 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- absstatement and proof · cited by 1,814
- MeasureTheory.integralstatement and proof · cited by 1,779
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- pow_oneproof · cited by 894
- Module.finrank_selfproof · cited by 24
- MeasureTheory.Measure.integral_comp_smulproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_comp_mul_left_Ioiproof · cited by 5
- mellinInv_eq_fourierInvproof · cited by 1
- MeasureTheory.Measure.integral_comp_mul_rightproof · cited by 0