Theorems · Theorem · commutative algebra
PowerBasis.degree_minpolyGen
∀ {S : Type u_2} [inst : Ring S] {A : Type u_4} [inst_1 : CommRing A] [inst_2 : Algebra A S] [Nontrivial A]
(pb : PowerBasis A S), pb.minpolyGen.degree = ↑pb.dim- Defined in
- Mathlib.RingTheory.PowerBasis
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Nontrivialstatement and proof · cited by 2,416
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- WithBotstatement and proof · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- Module.Basis.reprproof · cited by 498
Cited by3
Results whose statement or proof uses this declaration.
- PowerBasis.minpolyGen_eqproof · cited by 4
- PowerBasis.natDegree_minpolyGenproof · cited by 2
- PowerBasis.degree_minpolyproof · cited by 0