Theorems · Theorem · measure theory
MeasureTheory.Measure.domSMul_apply
∀ {G : Type u_1} {A : Type u_2} [inst : Group G] [inst_1 : MulAction G A] [inst_2 : MeasurableSpace A]
[inst_3 : MeasurableConstSMul G A] (μ : MeasureTheory.Measure A) (g : Gᵈᵐᵃ) (s : Set A),
(g • μ) s = μ (DomMulAct.mk.symm g • s)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- Set.preimageproof · cited by 4,946
- Equiv.symmstatement and proof · cited by 3,681
- MulActionstatement and proof · cited by 1,294
- Set.smulSetstatement · cited by 608
- DFunLikeproof · cited by 576
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.distribHaarChar_mulproof · cited by 1