Theorems · Theorem · commutative algebra
MvPolynomial.isRegular_X
∀ {R : Type u} {σ : Type u_1} {n : σ} [inst : CommSemiring R], IsRegular (MvPolynomial.X n)- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 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.
Cites12
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
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- Finsupp.singleproof · cited by 943
- MvPolynomial.Xstatement and proof · cited by 552
- MvPolynomial.coeffproof · cited by 315
- Commute.allproof · cited by 119
- IsRegularstatement · cited by 116
- IsLeftRegularproof · cited by 97
- MvPolynomial.extproof · cited by 61
- IsLeftRegular.right_of_commuteproof · cited by 4
- MvPolynomial.coeff_X_mulproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.isRegular_X_powproof · cited by 0
- MvPolynomial.isRegular_prod_Xproof · cited by 0