Theorems · Theorem · commutative algebra
Polynomial.toMvPolynomial_eq_rename_comp
∀ {R : Type u_1} {σ : Type u_3} [inst : CommSemiring R] (i : σ),
Polynomial.toMvPolynomial i = (MvPolynomial.rename fun x => i).comp ↑(MvPolynomial.uniqueAlgEquiv R Unit).symm- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement · cited by 5,681
- Finsuppstatement and proof · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- Polynomial.Xproof · cited by 1,639
- AlgEquiv.symmstatement and proof · cited by 615
- MvPolynomial.Xproof · cited by 552
- AlgHom.compstatement and proof · cited by 501
- MvPolynomial.Cproof · cited by 400
- MvPolynomial.coeffproof · cited by 315
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.toMvPolynomial_injectiveproof · cited by 1