Theorems · Theorem · measure theory
MeasurableEquiv.image_eq_preimage_symm
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] (e : α ≃ᵐ β) (s : Set α),
⇑e '' s = ⇑e.symm ⁻¹' s- Cited by
- 4 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, 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.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Set.imagestatement · cited by 5,609
- Set.preimagestatement · cited by 4,946
- MeasurableEquivstatement and proof · cited by 269
- MeasurableEquiv.symmstatement · cited by 155
- Equiv.image_eq_preimage_symmproof · cited by 64
- MeasurableEquiv.toEquivproof · cited by 37
Cited by4
Results whose statement or proof uses this declaration.
- MeasurableEquiv.measurableSet_imageproof · cited by 4
- Ergodic.symmproof · cited by 1
- MeasurableEquiv.comap_applyproof · cited by 1
- MeasurableEquiv.preimage_symmproof · cited by 0