Theorems · Theorem · measure theory
IsometryEquiv.dimH_image
∀ {X : Type u_2} {Y : Type u_3} [inst : EMetricSpace X] [inst_1 : EMetricSpace Y] (e : X ≃ᵢ Y) (s : Set X),
dimH (⇑e '' s) = dimH s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EMetricSpaceEMetricSpace
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
- ENNRealstatement · cited by 9,879
- Set.imagestatement · cited by 5,609
- EMetricSpacestatement and proof · cited by 242
- IsometryEquivstatement and proof · cited by 177
- dimHstatement · cited by 65
- IsometryEquiv.isometryproof · cited by 22
- Isometry.dimH_imageproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsometryEquiv.dimH_preimageproof · cited by 1