Theorems · Definition · measure theory
MeasurableEquiv.shearAddRight
(G : Type u_1) → [inst : MeasurableSpace G] → [inst_1 : AddGroup G] → [MeasurableAdd₂ G] → [MeasurableNeg G] → G × G ≃ᵐ G × G
The map (x, y) ↦ (x, x + y) as a MeasurableEquiv.
- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 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.
- MeasurableSpacestatement and proof · cited by 13,106
- Equivproof · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- Equiv.reflproof · cited by 274
- MeasurableEquivstatement · cited by 269
- MeasurableAdd₂statement and proof · cited by 155
- MeasurableNegstatement and proof · cited by 130
- Equiv.addLeftproof · cited by 19
- Equiv.prodShearproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measurePreserving_prod_neg_addproof · cited by 2