Theorems · Theorem · commutative algebra
MvPolynomial.monomial_fin_two
∀ {R : Type u_1} [inst : CommSemiring R] (d : Fin 2 →₀ ℕ) (a : R),
(MvPolynomial.monomial d) a = MvPolynomial.C a * MvPolynomial.X 0 ^ d 0 * MvPolynomial.X 1 ^ d 1A monomial in two variables equals C a * X 0 ^ d 0 * X 1 ^ d 1.
- Defined in
- Mathlib.Algebra.MvPolynomial.Coeff
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- mul_assocproof · cited by 1,667
- pow_zeroproof · cited by 1,094
- MvPolynomial.Xstatement and proof · cited by 552
- MvPolynomial.Cstatement and proof · cited by 400
- MvPolynomial.monomialstatement · cited by 253
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