Theorems · Theorem · complex analysis
Irreducible.degree_le_two
∀ {p : Polynomial ℝ}, Irreducible p → p.degree ≤ 2An irreducible real polynomial has degree at most two.
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- Foundations
- Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Polynomialstatement and proof · cited by 5,681
- WithBotstatement · cited by 1,498
- Polynomial.degreestatement · cited by 643
- Irreduciblestatement and proof · cited by 496
- Polynomial.natDegree_le_iff_degree_leproof · cited by 12
- Irreducible.natDegree_le_twoproof · cited by 2
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