Theorems · Theorem · commutative algebra
Algebra.Extension.cotangentEquivCotangentKer_symm_apply
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {P : Algebra.Extension R S}
(x : P.ker.Cotangent), Algebra.Extension.cotangentEquivCotangentKer.symm x = Algebra.Extension.Cotangent.of x- Defined in
- Mathlib.RingTheory.Extension.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmstatement and proof · cited by 1,461
- Algebra.Extension.Ringstatement · cited by 179
- Algebra.Extensionstatement and proof · cited by 138
- Algebra.Extension.Cotangentstatement · cited by 121
- Algebra.Extension.kerstatement and proof · cited by 72
- Ideal.Cotangentstatement and proof · cited by 68
- Algebra.Extension.Cotangent.ofstatement · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.