Theorems · Definition · commutative algebra

QuotSMulTop.tensorQuotSMulTopEquivQuotSMulTop

{R : Type u_2} →
  [inst : CommRing R] →
    (r : R) →
      (M : Type u_1) →
        (M' : Type u_3) →
          [inst_1 : AddCommGroup M] →
            [inst_2 : Module R M] →
              [inst_3 : AddCommGroup M'] →
                [inst_4 : Module R M'] → TensorProduct R M (QuotSMulTop r M') ≃ₗ[R] QuotSMulTop r (TensorProduct R M M')

Tensoring on the left and applying QuotSMulTop · r commute.

Defined in

Mathlib.RingTheory.QuotSMulTop

Cited by

1 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModule