Theorems · Theorem · commutative algebra
MvPolynomial.optionEquivLeft_symm_C_C
∀ (R : Type u) (S₁ : Type v) [inst : CommSemiring R] (x : R), (MvPolynomial.optionEquivLeft R S₁).symm (Polynomial.C (MvPolynomial.C x)) = MvPolynomial.C x
- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 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.
Cites19
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
- Polynomialstatement · cited by 5,681
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- AlgEquiv.symmstatement · cited by 615
- MvPolynomial.Xproof · cited by 552
- MvPolynomial.Cstatement and proof · cited by 400
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.isIntegral_iff_isIntegral_coeffproof · cited by 1