Theorems · Theorem · commutative algebra

Submodule.range_powSMulQuotInclusion

∀ {R : Type u_3} [inst : CommRing R] (I : Ideal R) {M : Type u_4} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  {a b c : ℕ} (h : c = b + a) (N : Submodule R M),
  (Submodule.powSMulQuotInclusion I M h N).range = Submodule.map (I ^ c • N).mkQ (I ^ a • N)

Defined in

Mathlib.RingTheory.Ideal.Quotient.PowTransition

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommRingAddCommGroupModule