Theorems · Theorem · commutative algebra
KaehlerDifferential.kerTotal_eq
∀ (R : Type u) (S : Type v) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S], (Finsupp.linearCombination S ⇑(KaehlerDifferential.D R S)).ker = KaehlerDifferential.kerTotal R S
- Defined in
- Mathlib.RingTheory.Kaehler.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
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 and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearMapproof · cited by 10,215
- Submodulestatement and proof · cited by 7,192
- Finsuppstatement and proof · cited by 5,255
- Algebra.algebraMapproof · cited by 4,706
- Set.rangeproof · cited by 4,705
- HasQuotient.Quotientproof · cited by 2,301
- le_antisymmproof · cited by 2,068
- one_smulproof · cited by 1,374
Cited by1
Results whose statement or proof uses this declaration.
- KaehlerDifferential.ker_map_of_surjectiveproof · cited by 1