Theorems · Theorem · commutative algebra
Polynomial.annIdealGenerator_aeval_eq_zero
∀ (𝕜 : Type u_1) {A : Type u_2} [inst : Field 𝕜] [inst_1 : Ring A] [inst_2 : Algebra 𝕜 A] (a : A),
(Polynomial.aeval a) (Polynomial.annIdealGenerator 𝕜 a) = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, 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 · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- AlgHomstatement · cited by 3,236
- Polynomial.aevalstatement · cited by 615
- Polynomial.annIdealGeneratorstatement · cited by 10
- Polynomial.mem_annIdeal_iff_aeval_eq_zeroproof · cited by 3
- Polynomial.annIdealGenerator_memproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.annIdealGenerator_eq_minpolyproof · cited by 1