Theorems · Theorem · group theory

Projectivization.smul_def

∀ {G : Type u_1} {K : Type u_2} {V : Type u_3} [inst : AddCommGroup V] [inst_1 : DivisionRing K] [inst_2 : Module K V]
  [inst_3 : Group G] [inst_4 : DistribMulAction G V] [inst_5 : SMulCommClass G K V] (g : G) (x : Projectivization K V),
  SMul.smul g x = Projectivization.map ((DistribMulAction.toModuleEnd K V) g) ⋯ x

Defined in

Mathlib.LinearAlgebra.Projectivization.Action

Cited by

0 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupDivisionRingModuleGroupDistribMulActionSMulCommClass