Theorems · Theorem · real analysis
lintegral_comp_polarCoord_symm
∀ (f : ℝ × ℝ → ENNReal), ∫⁻ (p : ℝ × ℝ) in polarCoord.target, ENNReal.ofReal p.1 • f (↑polarCoord.symm p) = ∫⁻ (p : ℝ × ℝ), f p
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 278 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Set.imageproof · cited by 5,609
- absproof · cited by 1,814
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- MeasureTheory.lintegralstatement and proof · cited by 1,152
- PartialEquiv.sourceproof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- ENNReal.ofRealstatement and proof · cited by 863
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
Cited by1
Results whose statement or proof uses this declaration.
- Complex.lintegral_comp_polarCoord_symmproof · cited by 0