AffineMap.homothety_one
∀ {k : Type u_2} {V1 : Type u_3} {P1 : Type u_4} [inst : CommRing k] [inst_1 : AddCommGroup V1]
[inst_2 : AddTorsor V1 P1] [inst_3 : Module k V1] (c : P1), AffineMap.homothety c 1 = AffineMap.id k P1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- HVAdd.hVAddproof · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- one_smulproof · cited by 1,374
- VSub.vsubproof · cited by 817
- AffineMapstatement · cited by 674
- vsub_vaddproof · cited by 62
- AffineMap.homothetystatement · cited by 51
- AffineMap.extproof · cited by 19
- AffineMap.idstatement · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- AffineMap.homothetyHomproof · cited by 2
- AffineMap.homothety_eq_iff_of_mul_eq_oneproof · cited by 1
- eventually_homothety_mem_of_mem_interiorproof · cited by 1
- AffineMap.homothety_isOpenMapproof · cited by 1