Theorems · Definition · field theory
AlgebraicClosure.maxIdeal
(k : Type u) → [inst : Field k] → Ideal (MvPolynomial (AlgebraicClosure.Vars k) k)
A random maximal ideal that contains spanEval k
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 160 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.
Cites5
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
- MvPolynomialstatement · cited by 2,140
- AlgebraicClosure.Varsstatement · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicClosureproof · cited by 53
- AlgebraicClosure.le_maxIdealstatement · cited by 1
- AlgebraicClosure.Monics.map_eq_prodstatement and proof · cited by 0