Theorems · Definition · field theory
AlgebraicClosure.Vars
(k : Type u) → [Field k] → Type u
Vars k provides n variables $X_{f,1}, \dots, X_{f,n}$ for each monic polynomial
f : k[X] of degree n.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 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.
Cites3
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
- Polynomial.natDegreeproof · cited by 1,105
- AlgebraicClosure.Monicsproof · cited by 5
Cited by9
Results whose statement or proof uses this declaration.
- AlgebraicClosureproof · cited by 53
- AlgebraicClosure.subProdXSubCstatement and proof · cited by 3
- AlgebraicClosure.maxIdealstatement · cited by 2
- AlgebraicClosure.spanCoeffsstatement · cited by 2
- AlgebraicClosure.toSplittingFieldstatement and proof · cited by 2
- AlgebraicClosure.le_maxIdealstatement · cited by 1
- AlgebraicClosure.spanCoeffs_ne_topstatement and proof · cited by 1
- AlgebraicClosure.toSplittingField_coeffstatement and proof · cited by 1
- AlgebraicClosure.Monics.map_eq_prodstatement and proof · cited by 0