Theorems · Theorem · linear algebra

Module.reflection_apply_self

∀ {R : Type u_1} {M : Type u_2} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] {x : M}
  {f : Module.Dual R M} (h : f x = 2), (Module.reflection h) x = -x

Defined in

Mathlib.LinearAlgebra.Reflection

Cited by

3 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule