Theorems · Theorem · linear algebra

Module.reflection_apply

∀ {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} (y : M) (h : f x = 2), (Module.reflection h) y = y - f y • x

Defined in

Mathlib.LinearAlgebra.Reflection

Cited by

8 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule