AffineMap.homothety_add
∀ {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) (r₁ r₂ : k),
AffineMap.homothety c (r₁ + r₂) = r₁ • (AffineMap.id k P1 -ᵥ AffineMap.const k P1 c) +ᵥ AffineMap.homothety c r₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
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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.hVAddstatement and proof · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubstatement and proof · cited by 817
- AffineMapstatement · cited by 674
- add_smulproof · cited by 204
- AffineMap.homothetystatement · cited by 51
- vadd_vaddproof · cited by 40
- AffineMap.idstatement and proof · cited by 16
- AffineMap.conststatement and proof · cited by 14
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