Theorems · Theorem · field theory
Polynomial.monic_X_pow_sub
∀ {R : Type u} [inst : Ring R] {p : Polynomial R} {n : ℕ}, p.degree < ↑n → (Polynomial.X ^ n - p).Monic- Defined in
- Mathlib.Algebra.Polynomial.Monic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xstatement and proof · cited by 1,639
- WithBotstatement and proof · cited by 1,498
- sub_eq_add_negproof · cited by 1,023
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.Monicstatement and proof · cited by 461
- Polynomial.degree_negproof · cited by 21
- Polynomial.monic_X_pow_addproof · cited by 3
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