Theorems · Theorem · field theory
Polynomial.SplittingFieldAux.adjoin_rootSet
∀ (n : ℕ) {K : Type u} [inst : Field K] (f : Polynomial K),
f.natDegree = n → Algebra.adjoin K (f.rootSet (Polynomial.SplittingFieldAux n f)) = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 136 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.
Cites50
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Finsetproof · cited by 13,712
- RingHomproof · cited by 10,189
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- Multisetproof · cited by 2,627
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.