AffineEquiv.coe_homothetyUnitsMulHom_apply_symm
∀ {R : Type u_10} {V : Type u_11} {P : Type u_12} [inst : CommRing R] [inst_1 : AddCommGroup V] [inst_2 : Module R V]
[inst_3 : AddTorsor V P] (p : P) (t : Rˣ),
⇑((AffineEquiv.homothetyUnitsMulHom p) t).symm = ⇑(AffineMap.homothety p ↑t⁻¹)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- AddTorsorstatement and proof · cited by 1,657
- AffineMapstatement · cited by 674
- AffineEquivstatement · cited by 191
- AffineEquiv.symmstatement · cited by 53
- AffineMap.homothetystatement · cited by 51
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.hausdorffMeasure_homothety_preimageproof · cited by 2