Theorems · Theorem · group theory

Matrix.ProjGenLinGroup.mk_smul

∀ {n : Type u_1} {R : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R] {α : Type u_4}
  [inst_3 : MulAction (GL n R) α] (h : ∀ (u : Rˣ) (a : α), (Matrix.GeneralLinearGroup.scalar n) u • a = a) (g : GL n R)
  (a : α), Matrix.ProjGenLinGroup.mk g • a = g • a

Defined in

Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Projective

Cited by

1 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommRingMulAction