Theorems · Theorem · commutative algebra
KaehlerDifferential.linearCombination_surjective
∀ (R : Type u) (S : Type v) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S], Function.Surjective ⇑(Finsupp.linearCombination S ⇑(KaehlerDifferential.D R S))
- Defined in
- Mathlib.RingTheory.Kaehler.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Top.topproof · cited by 9,680
- Submoduleproof · cited by 7,192
- Finsuppstatement · cited by 5,255
- Derivationstatement · cited by 293
- Finsupp.linearCombinationstatement · cited by 269
- KaehlerDifferentialstatement and proof · cited by 204
- LinearMap.range_eq_topproof · cited by 107
Cited by3
Results whose statement or proof uses this declaration.
- KaehlerDifferential.ker_mapproof · cited by 2
- KaehlerDifferential.range_mapBaseChangeproof · cited by 2
- KaehlerDifferential.ker_map_of_surjectiveproof · cited by 1