Theorems · Theorem · algebraic geometry
Polynomial.homogenize_eq_of_isHomogeneous
∀ {R : Type u_1} [inst : CommSemiring R] {p : Polynomial R} {n : ℕ} {q : MvPolynomial (Fin 2) R},
q.IsHomogeneous n → (MvPolynomial.aeval ![Polynomial.X, 1]) q = p → p.homogenize n = q- Defined in
- Mathlib.Algebra.Polynomial.Homogenize
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 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.
Cites39
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- Finsuppstatement and proof · cited by 5,255
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- AlgHomstatement · cited by 3,236
- Finset.sum_congrproof · cited by 2,323
- MvPolynomialstatement and proof · cited by 2,140
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- pow_zeroproof · cited by 1,094
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.homogenize_mulproof · cited by 2