Theorems · Theorem · commutative algebra
MvPolynomial.sumAlgEquiv_symm_C_C
∀ (R : Type u) (S₁ : Type v) (S₂ : Type w) [inst : CommSemiring R] (r : R), (MvPolynomial.sumAlgEquiv R S₁ S₂).symm (MvPolynomial.C (MvPolynomial.C r)) = MvPolynomial.C r
- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 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.
Cites20
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
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Finsupp.singleproof · cited by 943
- AlgEquiv.symmstatement and proof · cited by 615
- AddEquiv.symmproof · cited by 530
- MvPolynomial.Cstatement and proof · cited by 400
- AddMonoidAlgebra.coeffproof · cited by 365
- AddMonoidAlgebra.singleproof · cited by 250
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.IsStandardSmoothOfRelativeDimension.exists_etale_mvPolynomialproof · cited by 1