Theorems · Theorem · commutative algebra
MvPolynomial.isHomogeneous_X
∀ {σ : Type u_1} (R : Type u_3) [inst : CommSemiring R] (i : σ), (MvPolynomial.X i).IsHomogeneous 1- Cited by
- 5 results in Mathlib
- Foundations
- Depth 85 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finset.sum_congrproof · cited by 2,323
- Finsupp.singleproof · cited by 943
- one_ne_zeroproof · cited by 885
- MvPolynomial.Xstatement · cited by 552
- Finset.sum_singletonproof · cited by 251
- Finsupp.single_eq_sameproof · cited by 171
- MvPolynomial.IsHomogeneousstatement · cited by 68
- Finsupp.support_singleproof · cited by 39
- MvPolynomial.isHomogeneous_monomialproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- MvPolynomial.isHomogeneous_X_powproof · cited by 3
- Matrix.charpoly.optionEquivLeft_symm_univ_isHomogeneousproof · cited by 1
- MvPolynomial.monomial_mem_homogeneousSubmodule_pow_degreeproof · cited by 1
- MvPolynomial.IsHomogeneous.mapproof · cited by 0
- MvPolynomial.isHomogeneous_C_mul_Xproof · cited by 0