Theorems · Theorem · commutative algebra
MvPolynomial.degreeOf_X
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] [inst_1 : DecidableEq σ] (i j : σ) [Nontrivial R],
MvPolynomial.degreeOf i (MvPolynomial.X j) = if i = j then 1 else 0- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Nontrivialstatement and proof · cited by 2,416
- MvPolynomial.Xstatement and proof · cited by 552
- MvPolynomial.degreeOfstatement and proof · cited by 53
- MvPolynomial.degreesproof · cited by 51
- Multiset.count_eq_zero_of_notMemproof · cited by 27
- Multiset.count.congr_simpproof · cited by 22
- Multiset.count_singletonproof · cited by 10
- MvPolynomial.degreeOf_defproof · cited by 7
- MvPolynomial.degrees_Xproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.degreeOf_X_selfproof · cited by 0