Theorems · Theorem · commutative algebra

Module.Finite.trans

∀ {R : Type u_6} (A : Type u_7) (M : Type u_8) [inst : Semiring R] [inst_1 : Semiring A] [inst_2 : Module R A]
  [inst_3 : AddCommMonoid M] [inst_4 : Module R M] [inst_5 : Module A M] [IsScalarTower R A M] [Module.Finite R A]
  [Module.Finite A M], Module.Finite R M

Defined in

Mathlib.RingTheory.Finiteness.Basic

Cited by

16 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringModuleAddCommMonoidModuleModuleIsScalarTowerModule.FiniteModule.Finite