Theorems · Theorem · commutative algebra
MvPolynomial.uniqueAlgEquiv_symm_monomial
∀ (R : Type u) {σ : Type u_1} [inst : CommSemiring R] [inst_1 : Unique σ] {d : σ →₀ ℕ} {r : R},
(MvPolynomial.uniqueAlgEquiv R σ).symm ((Polynomial.monomial (d default)) r) = (MvPolynomial.monomial d) r- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringUnique
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.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Finset.prod_congrproof · cited by 646
- AlgEquiv.symmstatement · cited by 615
- MvPolynomial.Xproof · cited by 552
- Uniquestatement and proof · cited by 400
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.pUnitAlgEquiv_symm_monomialproof · cited by 0