Theorems · Theorem · field theory
Polynomial.monic_X_pow_add_C
∀ {R : Type u} (a : R) [inst : Semiring R] {n : ℕ}, n ≠ 0 → (Polynomial.X ^ n + Polynomial.C a).Monic- Defined in
- Mathlib.Algebra.Polynomial.Monic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- Polynomial.Monicstatement · cited by 461
- lt_of_le_of_ltproof · cited by 432
- Polynomial.degree_C_leproof · cited by 21
- Polynomial.monic_X_pow_addproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.monic_X_pow_sub_Cproof · cited by 13
- Polynomial.monic_X_add_Cproof · cited by 9
- Complex.isIntegral_int_Iproof · cited by 2