Theorems · Theorem · commutative algebra
MvPolynomial.rename_monomial
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} [inst : CommSemiring R] (f : σ → τ) (d : σ →₀ ℕ) (r : R),
(MvPolynomial.rename f) ((MvPolynomial.monomial d) r) = (MvPolynomial.monomial (Finsupp.mapDomain f d)) r- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 5 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.monomialstatement · cited by 253
- AddMonoidAlgebra.singleproof · cited by 250
- MvPolynomial.renamestatement · cited by 168
- Finsupp.mapDomainstatement and proof · cited by 168
- AddMonoidAlgebra.mapDomain_singleproof · cited by 23
Cited by5
Results whose statement or proof uses this declaration.
- MvPolynomial.coeff_rename_mapDomainproof · cited by 6
- MvPolynomial.IsHomogeneous.rename_isHomogeneousproof · cited by 2
- WittVector.remainder_varsproof · cited by 1
- Algebra.Generators.toComp_toAlgHom_monomialproof · cited by 1
- MvPolynomial.rename_homogeneousComponentproof · cited by 0