Theorems · Theorem · commutative algebra
MvPolynomial.totalDegree_rename_le
∀ {R : Type u} {σ : Type u_1} {τ : Type u_2} [inst : CommSemiring R] (f : σ → τ) (p : MvPolynomial σ R),
((MvPolynomial.rename f) p).totalDegree ≤ p.totalDegree- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 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.
Cites18
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
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- Finset.imageproof · cited by 910
- Finsupp.supportproof · cited by 828
- AddMonoidAlgebra.coeffproof · cited by 365
- MvPolynomial.supportproof · cited by 220
- MvPolynomial.renamestatement and proof · cited by 168
- Eq.trans_leproof · cited by 155
- Finset.mem_imageproof · cited by 105
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.coeff_toPolynomialAdjoinImageCompl_ne_zeroproof · cited by 2
- MvPolynomial.totalDegree_renameEquivproof · cited by 1