Theorems · Theorem · algebraic geometry
Polynomial.isHomogeneous_homogenize
∀ {R : Type u_1} [inst : CommSemiring R] {n : ℕ} (p : Polynomial R), (p.homogenize n).IsHomogeneous n- Defined in
- Mathlib.Algebra.Polynomial.Homogenize
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 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.
Cites17
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
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffproof · cited by 1,045
- map_addproof · cited by 964
- Finsupp.singleproof · cited by 943
- MvPolynomial.monomialproof · cited by 253
- Finset.HasAntidiagonal.antidiagonalproof · cited by 218
- Finsupp.degreeproof · cited by 94
- MvPolynomial.IsHomogeneousstatement and proof · cited by 68
- Finsupp.single_eq_of_neproof · cited by 61
- Finsupp.updateproof · cited by 52
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.homogenize_mulproof · cited by 2
- Polynomial.sum_eq_natDegree_of_mem_support_homogenizeproof · cited by 1