Theorems · Theorem · commutative algebra
ModuleCat.Derivation.d_mul
∀ {A B : CommRingCat} {M : ModuleCat ↑B} {f : A ⟶ B} (D : M.Derivation f) (b b' : ↑B),
D.d (b * b') = b • D.d b' + b' • D.d b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CommRingCatstatement and proof · cited by 2,333
- ModuleCatstatement and proof · cited by 1,429
- CommRingCat.carrierstatement and proof · cited by 1,096
- ModuleCat.carrierstatement · cited by 997
- Derivation.leibnizproof · cited by 31
- ModuleCat.Derivation.dstatement · cited by 6
- ModuleCat.Derivationstatement and proof · cited by 5
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