Theorems · Definition · field theory
AlgebraicClosure.Monics
(k : Type u) → [Field k] → Type u
The subtype of monic polynomials.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 62 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
- Polynomialproof · cited by 5,681
- Polynomial.Monicproof · cited by 461
Cited by10
Results whose statement or proof uses this declaration.
- AlgebraicClosure.Varsproof · cited by 4
- AlgebraicClosure.subProdXSubCstatement and proof · cited by 3
- AlgebraicClosure.finEquivRootsstatement and proof · cited by 2
- AlgebraicClosure.spanCoeffsproof · cited by 2
- AlgebraicClosure.toSplittingFieldstatement and proof · cited by 2
- AlgebraicClosure.Monics.splits_finsetProdstatement and proof · cited by 1
- AlgebraicClosure.spanCoeffs_ne_topproof · cited by 1
- AlgebraicClosure.toSplittingField_coeffstatement and proof · cited by 1
- AlgebraicClosure.Monics.map_eq_prodstatement and proof · cited by 0
- AlgebraicClosure.finEquivRoots.congr_simpstatement and proof · cited by 0