Theorems · Theorem · field theory
Polynomial.coeff_X
∀ {R : Type u} {n : ℕ} [inst : Semiring R], Polynomial.X.coeff n = if 1 = n then 1 else 0- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 99 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomial.Xstatement · cited by 1,639
- Polynomial.coeffstatement · cited by 1,045
- Polynomial.coeff_monomialproof · cited by 40
Cited by12
Results whose statement or proof uses this declaration.
- Matrix.matPolyEquiv_charmatrixproof · cited by 3
- WeierstrassCurve.coeff_preΨ₄proof · cited by 2
- WeierstrassCurve.coeff_Ψ₂Sqproof · cited by 2
- WeierstrassCurve.coeff_Ψ₃proof · cited by 2
- Polynomial.irreducible_C_mul_X_add_Cproof · cited by 2
- Matrix.charpoly_of_card_eq_twoproof · cited by 2
- Polynomial.coeff_X_of_ne_oneproof · cited by 2
- Polynomial.isIntegral_coeff_of_factorsproof · cited by 1
- Valuation.Integers.isIntegral_iff_v_le_oneproof · cited by 1
- exists_derivative_mul_eq_and_isIntegral_coeffproof · cited by 1
- Polynomial.coeff_mem_pow_of_mem_adjoin_C_mul_Xproof · cited by 1
- FreeCommRing.isSupported_ofproof · cited by 1