Theorems · Definition · field theory
AlgebraicClosure.spanCoeffs
(k : Type u) → [inst : Field k] → Ideal (MvPolynomial (AlgebraicClosure.Vars k) k)
The span of all coefficients of subProdXSubC f as f ranges all polynomials in k[X].
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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.
- Fieldstatement and proof · cited by 7,404
- Finsuppstatement · cited by 5,255
- Idealstatement · cited by 4,748
- Set.rangeproof · cited by 4,705
- MvPolynomialstatement · cited by 2,140
- Polynomial.coeffproof · cited by 1,045
- Ideal.spanproof · cited by 948
- AlgebraicClosure.Monicsproof · cited by 5
- AlgebraicClosure.Varsstatement · cited by 4
- AlgebraicClosure.subProdXSubCproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicClosure.spanCoeffs_ne_topstatement and proof · cited by 1
- AlgebraicClosure.le_maxIdealstatement and proof · cited by 1