Theorems · Theorem · field theory
Polynomial.coeff_monomial_same
∀ {R : Type u} [inst : Semiring R] (n : ℕ) (c : R), ((Polynomial.monomial n) c).coeff n = c- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 97 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- Polynomial.coeffstatement · cited by 1,045
- Polynomial.monomialstatement · cited by 256
- Finsupp.single_eq_sameproof · cited by 171
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.homogenize_monomialproof · cited by 3
- reesAlgebra.monomial_memproof · cited by 2
- Polynomial.gaussNorm_monomialproof · cited by 1
- Polynomial.card_support_le_one_iff_monomialproof · cited by 1
- Polynomial.coeffs_monomialproof · cited by 1
- Polynomial.supNorm_monomialproof · cited by 1
- Polynomial.monomial_mem_lifts_and_degree_eqproof · cited by 0
- LinearRecurrence.charPoly_monicproof · cited by 0