Theorems · Theorem · commutative algebra
Algebra.Extension.toKaehler_surjective
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
{P : Algebra.Extension R S}, Function.Surjective ⇑P.toKaehler- Cited by
- 3 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- KaehlerDifferentialstatement · cited by 204
- Algebra.Extension.Ringstatement and proof · cited by 179
- Algebra.Extensionstatement and proof · cited by 138
- Algebra.Extension.CotangentSpacestatement · cited by 73
- Algebra.Extension.toKaehlerstatement · cited by 15
- Algebra.Extension.algebraMap_surjectiveproof · cited by 5
- KaehlerDifferential.mapBaseChange_surjectiveproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Algebra.FormallySmooth.comp_surjectiveproof · cited by 6
- Algebra.Generators.H1Cotangent.exact_δ_mapproof · cited by 1
- Algebra.Presentation.differentialsSolution_isPresentationproof · cited by 0