Theorems · Definition · measure theory
MeasurableEquiv.mulLeft
{G : Type u_1} → [inst : Group G] → [inst_1 : MeasurableSpace G] → [MeasurableMul G] → G → G ≃ᵐ GIf G is a group with measurable multiplication, then left multiplication by g : G is a
measurable automorphism of G.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, 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.
- MeasurableSpacestatement and proof · cited by 13,106
- Groupstatement and proof · cited by 6,238
- MeasurableEquivstatement · cited by 269
- MeasurableMulstatement and proof · cited by 71
- MeasurableEquiv.smulproof · cited by 7
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_preimage_mulproof · cited by 5
- MeasureTheory.integral_mul_left_eq_selfproof · cited by 4
- MeasureTheory.lintegral_mul_left_eq_selfproof · cited by 4
- MeasureTheory.map_mul_left_aeproof · cited by 1
- MeasurableEquiv.coe_mulLeftstatement · cited by 0
- measurableEmbedding_mulLeftproof · cited by 0
- MeasurableEquiv.toEquiv_mulLeftstatement · cited by 0
- MeasurableEquiv.mulLeft.congr_simpstatement and proof · cited by 0
- MeasurableEquiv.symm_mulLeftstatement · cited by 0