Theorems · Theorem · linear algebra

LinearEquiv.mem_stabilizer_submodule_of_le_fixedSubmodule

∀ {R : Type u_1} [inst : Semiring R] {V : Type u_3} [inst_1 : AddCommMonoid V] [inst_2 : Module R V] {e : V ≃ₗ[R] V}
  {W : Submodule R V}, W ≤ (↑e).fixedSubmodule → e ∈ MulAction.stabilizer (V ≃ₗ[R] V) W

Defined in

Mathlib.LinearAlgebra.FixedSubmodule

Cited by

1 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule