Theorems · Theorem · ring theory

Module.IsTorsionFree.of_faithfulSMul

∀ (R : Type u_1) (S : Type u_2) (A : Type u_3) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [FaithfulSMul R A] [inst_4 : Semiring S] [inst_5 : Module S R] [inst_6 : Module S A] [IsScalarTower S R A]
  [Module.IsTorsionFree S A], Module.IsTorsionFree S R

Defined in

Mathlib.Algebra.Algebra.Basic

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraFaithfulSMulSemiringModuleModuleIsScalarTowerModule.IsTorsionFree