Theorems · Theorem · group theory
Projectivization.generalLinearGroup_smul_def
∀ {K : Type u_2} {V : Type u_3} [inst : AddCommGroup V] [inst_1 : DivisionRing K] [inst_2 : Module K V]
(g : LinearMap.GeneralLinearGroup K V) (x : Projectivization K V), g • x = Projectivization.map ↑g.toLinearEquiv ⋯ x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- LinearEquiv.toLinearMapstatement · cited by 1,171
- DivisionRingstatement and proof · cited by 1,062
- LinearEquiv.injectivestatement · cited by 162
- Projectivizationstatement and proof · cited by 111
- LinearMap.GeneralLinearGroupstatement and proof · cited by 27
- LinearMap.GeneralLinearGroup.toLinearEquivstatement · cited by 9
- Projectivization.mapstatement · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.