Theorems · Theorem · commutative algebra
Polynomial.mkDerivation_X
∀ (R : Type u_1) {A : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A]
[inst_3 : Module (Polynomial R) A] [inst_4 : IsScalarTower R (Polynomial R) A] (a : A),
((Polynomial.mkDerivation R) a) Polynomial.X = a- Defined in
- Mathlib.Algebra.Polynomial.Derivation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- IsScalarTowerstatement and proof · cited by 3,896
- Polynomial.Xstatement and proof · cited by 1,639
- one_smulproof · cited by 1,374
- Derivationstatement · cited by 293
- Polynomial.derivative_Xproof · cited by 34
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.mkDerivationEquivproof · cited by 2
- Polynomial.mkDerivation_one_eq_derivative'proof · cited by 1