Theorems · Theorem · commutative algebra

Module.End.isNilpotent.restrict

∀ {R : Type u_1} {M : Type u_3} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {f : M →ₗ[R] M}
  {p : Submodule R M} (hf : Set.MapsTo ⇑f ↑p ↑p), IsNilpotent f → IsNilpotent (f.restrict hf)

Defined in

Mathlib.RingTheory.Nilpotent.Lemmas

Cited by

2 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Quot.sound

Assumes

SemiringAddCommMonoidModule