Theorems · Theorem · commutative algebra

KaehlerDifferential.kerTotal_mkQ_single_mul

∀ (R : Type u) (S : Type v) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (x y z : S),
  ((KaehlerDifferential.kerTotal R S).mkQ fun₀ | x * y => z) =
    ((KaehlerDifferential.kerTotal R S).mkQ fun₀ | y => z * x) +
      (KaehlerDifferential.kerTotal R S).mkQ fun₀ | x => z * y

Defined in

Mathlib.RingTheory.Kaehler.Basic

Cited by

1 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra