Theorems · Theorem · commutative algebra

Module.length_pi

∀ {R : Type u_1} {M : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] {ι : Type u_5},
  Module.length R (ι → M) = ENat.card ι * Module.length R M

Defined in

Mathlib.RingTheory.Length

Cited by

0 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModule