Theorems · Theorem · group theory

SpecialLinearGroup.baseChange_apply_coe

∀ {R : Type u_1} {V : Type u_2} [inst : CommRing R] [inst_1 : AddCommGroup V] [inst_2 : Module R V] {S : Type u_3}
  [inst_3 : CommRing S] [inst_4 : Algebra R S] [inst_5 : Module.Free R V] [inst_6 : Module.Finite R V]
  (g : SpecialLinearGroup R V), ↑(SpecialLinearGroup.baseChange g) = LinearEquiv.baseChange R S V V ↑g

Defined in

Mathlib.LinearAlgebra.SpecialLinearGroup

Cited by

0 results in Mathlib

Foundations

Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleCommRingAlgebraModule.FreeModule.Finite