Theorems · Definition · commutative algebra
Algebra.Extension.Cotangent.of
{R : Type u} →
{S : Type v} →
[inst : CommRing R] →
[inst_1 : CommRing S] → [inst_2 : Algebra R S] → {P : Algebra.Extension R S} → P.ker.Cotangent → P.CotangentThe identity map P.ker.Cotangent → P.Cotangent into the type synonym.
- Defined in
- Mathlib.RingTheory.Extension.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- 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
Cited by8
Results whose statement or proof uses this declaration.
- Algebra.Extension.Cotangent.mkproof · cited by 49
- Algebra.Extension.Cotangent.mapproof · cited by 40
- Algebra.Extension.cotangentEquivCotangentKerproof · cited by 3
- Algebra.Extension.Cotangent.val_ofstatement · cited by 0
- Algebra.Extension.cotangentEquivCotangentKer_symm_applystatement · cited by 0
- Algebra.Extension.Cotangent.of_addstatement · cited by 0
- Algebra.Extension.Cotangent.of_valstatement · cited by 0
- Algebra.Extension.Cotangent.of_zerostatement · cited by 0