Theorems · Theorem · commutative algebra
MvPolynomial.coeff_X_same
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] (i : σ), MvPolynomial.coeff (fun₀ | i => 1) (MvPolynomial.X i) = 1- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsupp.singlestatement and proof · cited by 943
- MvPolynomial.Xstatement · cited by 552
- MvPolynomial.coeffstatement · cited by 315
- MvPolynomial.coeff_Xproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.X_ne_zeroproof · cited by 1