Theorems · Theorem · commutative algebra

Algebra.Extension.tensorToH1Cotangent_tmul

∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
  (P : Algebra.Extension R S) (T : Type u_3) [inst_3 : CommRing T] [inst_4 : Algebra R T] (t : T) (x : P.H1Cotangent),
  ↑((P.tensorToH1Cotangent T) (t ⊗ₜ[R] x)) = t • (Algebra.Extension.Cotangent.map (Algebra.Extension.toBaseChange T)) ↑x

Defined in

Mathlib.RingTheory.Extension.Cotangent.BaseChange

Cited by

0 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebra