Theorems · Theorem · commutative algebra
MvPolynomial.uniqueAlgEquiv_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) ((MvPolynomial.monomial d) r) = (Polynomial.monomial (d default)) r- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 4 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.
Cites21
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
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Finset.prod_congrproof · cited by 646
- Uniquestatement and proof · cited by 400
Cited by4
Results whose statement or proof uses this declaration.
- MvPolynomial.eval₂_uniqueAlgEquivproof · cited by 4
- MvPolynomial.toMvPowerSeries_pUnitAlgEquivproof · cited by 3
- MvPolynomial.coeff_uniqueAlgEquivproof · cited by 1
- MvPolynomial.pUnitAlgEquiv_monomialproof · cited by 0