Theorems · Theorem · measure theory
MeasureTheory.volume_pi
∀ {ι : Type u_1} {α : ι → Type u_3} [inst : Fintype ι] [inst_1 : (i : ι) → MeasureTheory.MeasureSpace (α i)],
MeasureTheory.volume = MeasureTheory.Measure.pi fun x => MeasureTheory.volume- Defined in
- Mathlib.MeasureTheory.Constructions.Pi
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 195 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.
- MeasureTheory.Measurestatement · cited by 10,939
- Fintypestatement and proof · cited by 7,736
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- MeasureTheory.Measure.pistatement · cited by 130
- MeasureTheory.MeasureSpacestatement and proof · cited by 51
Cited by7
Results whose statement or proof uses this declaration.
- pi_polarCoord_symm_target_ae_eq_univproof · cited by 3
- NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasisproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.setLIntegral_paramSet_expproof · cited by 1
- Real.volume_preserving_transvectionStructproof · cited by 1
- ZSpan.volume_fundamentalDomainproof · cited by 1
- MeasureTheory.integral_divergence_of_hasFDerivAt_off_countableproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.closure_paramSet_ae_interiorproof · cited by 1