Theorems · Theorem · commutative algebra
MvPolynomial.IsHomogeneous.rename_isHomogeneous
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_3} [inst : CommSemiring R] {φ : MvPolynomial σ R} {n : ℕ} {f : σ → τ},
φ.IsHomogeneous n → ((MvPolynomial.rename f) φ).IsHomogeneous n- 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.
Cites24
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
- Finsuppstatement and proof · cited by 5,255
- 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
- Finsupp.sumproof · cited by 481
- map_sumproof · cited by 455
- MvPolynomial.coeffproof · cited by 315
- MvPolynomial.monomialproof · cited by 253
- MvPolynomial.supportproof · cited by 220
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.IsHomogeneous.rename_isHomogeneous_iffproof · cited by 2
- MvPolynomial.IsHomogeneous.coeff_isHomogeneous_of_optionEquivLeft_symmproof · cited by 1