Theorems · Theorem · commutative algebra
MvPolynomial.degrees_rename_of_injective
∀ {R : Type u} {σ : Type u_1} {τ : Type u_2} [inst : CommSemiring R] {p : MvPolynomial σ R} {f : σ → τ},
Function.Injective f → ((MvPolynomial.rename f) p).degrees = Multiset.map f p.degrees- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 1 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.
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
- Multisetstatement · cited by 2,627
- MvPolynomialstatement and proof · cited by 2,140
- Multiset.mapstatement · cited by 876
- Finset.supproof · cited by 530
- MvPolynomial.supportproof · cited by 220
- Finsupp.mapDomainproof · cited by 168
- MvPolynomial.renamestatement · cited by 168
- MvPolynomial.degreesstatement · cited by 51
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.degreeOf_rename_of_injectiveproof · cited by 2