Theorems · Theorem · linear algebra

Submodule.mapQ_pow

∀ {R : Type u_1} {M : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (p : Submodule R M)
  {f : M →ₗ[R] M} (h : p ≤ Submodule.comap f p) (k : ℕ) (h' : optParam (p ≤ Submodule.comap (f ^ k) p) ⋯),
  p.mapQ p (f ^ k) h' = p.mapQ p f h ^ k

Defined in

Mathlib.LinearAlgebra.Quotient.Basic

Cited by

1 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModule