Theorems · Theorem · field theory
Polynomial.splits_iff_comp_splits_of_degree_eq_one
∀ {R : Type u_1} [inst : Field R] {f g : Polynomial R}, g.degree = 1 → (f.Splits ↔ (f.comp g).Splits)- Defined in
- Mathlib.Algebra.Polynomial.Splits
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- WithBotstatement · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.Splitsstatement · cited by 290
- Polynomial.compstatement · cited by 193
- Polynomial.natDegree_eq_of_degree_eq_someproof · cited by 42
- Polynomial.splits_iff_comp_splits_of_natDegree_eq_oneproof · cited by 1
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