Theorems · Theorem · field theory
Polynomial.coeff_one
∀ {R : Type u} [inst : Semiring R] {n : ℕ}, Polynomial.coeff 1 n = if n = 0 then 1 else 0- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 10 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
- Polynomialstatement · cited by 5,681
- Polynomial.coeffstatement and proof · cited by 1,045
- Polynomial.coeff_monomialproof · cited by 40
Cited by10
Results whose statement or proof uses this declaration.
- Polynomial.coeff_one_zeroproof · cited by 21
- Polynomial.isIntegral_coeff_prodproof · cited by 1
- Matrix.coeff_charpolyRev_eq_neg_traceproof · cited by 1
- Polynomial.coeff_bdd_of_roots_leproof · cited by 1
- Polynomial.coeff_prod_mem_ideal_pow_tsubproof · cited by 1
- Polynomial.coeff_le_of_roots_leproof · cited by 1
- Polynomial.coeffs_oneproof · cited by 1
- Polynomial.divX_oneproof · cited by 1
- Polynomial.restriction_oneproof · cited by 0
- Polynomial.toSubring_oneproof · cited by 0