Theorems · Theorem · commutative algebra
MvPolynomial.rename_comp_rename
∀ {σ : Type u_1} {τ : Type u_2} {α : Type u_3} {R : Type u_4} [inst : CommSemiring R] (f : σ → τ) (g : τ → α),
(MvPolynomial.rename g).comp (MvPolynomial.rename f) = MvPolynomial.rename (g ∘ f)- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- AlgHom.compstatement · cited by 501
- AlgHom.extproof · cited by 170
- MvPolynomial.renamestatement · cited by 168
- MvPolynomial.rename_renameproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.PreSubmersivePresentation.jacobian_reindexproof · cited by 0