Theorems · Theorem · commutative algebra
Derivation.map_natCast
∀ {R : Type u_1} {A : Type u_2} {M : Type u_4} [inst : CommSemiring R] [inst_1 : CommSemiring A]
[inst_2 : AddCommMonoid M] [inst_3 : Algebra R A] [inst_4 : Module A M] [inst_5 : Module R M] (D : Derivation R A M)
(n : ℕ), D ↑n = 0- Defined in
- Mathlib.RingTheory.Derivation.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- smul_zeroproof · cited by 665
- Derivationstatement and proof · cited by 293
- nsmul_oneproof · cited by 34
- Derivation.map_one_eq_zeroproof · cited by 16
- Derivation.map_smul_of_towerproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- bernsteinPolynomial.sum_mul_smulproof · cited by 1
- bernsteinPolynomial.sum_smulproof · cited by 1