Theorems · Theorem · field theory
Polynomial.SplittingFieldAux.splits
∀ (n : ℕ) {K : Type u} [inst : Field K] (f : Polynomial K),
f.natDegree = n → (Polynomial.map (algebraMap K (Polynomial.SplittingFieldAux n f)) f).Splits- Cited by
- 0 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
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Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomproof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- LE.le.transproof · cited by 3,151
- Polynomial.natDegreestatement and proof · cited by 1,105
- le_transproof · cited by 985
- Polynomial.mapstatement and proof · cited by 806
- zero_le_oneproof · cited by 316
- Polynomial.Splitsstatement and proof · cited by 290
- AdjoinRootproof · cited by 177
- Polynomial.map_mulproof · cited by 90
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