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Theorems · Theorem · commutative algebra

Algebra.Extension.Cotangent.of_add

∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {P : Algebra.Extension R S}
  (w z : P.ker.Cotangent),
  Algebra.Extension.Cotangent.of (w + z) = Algebra.Extension.Cotangent.of w + Algebra.Extension.Cotangent.of z
Defined in
Mathlib.RingTheory.Extension.Basic
Cited by
0 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebra
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CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraAlgebra.Extension.Ring · cited by 179Extension.RingAlgebra.Extension · cited by 138Algebra.ExtensionAlgebra.Extension.Cotangent · cited by 121Extension.CotangentAlgebra.Extension.ker · cited by 72Extension.kerIdeal.Cotangent · cited by 68Ideal.CotangentAlgebra.Extension.Cotangent.of · cited by 5Cotangent.ofCotangent.of_addCITED BYCITES

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