Theorems · Theorem · commutative algebra
Polynomial.toMvPolynomial_injective
∀ {R : Type u_1} {σ : Type u_3} [inst : CommSemiring R] (i : σ), Function.Injective ⇑(Polynomial.toMvPolynomial i)- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 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.
Cites12
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
- Polynomialstatement · cited by 5,681
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- AlgEquiv.symmproof · cited by 615
- MvPolynomial.renameproof · cited by 168
- MvPolynomial.uniqueAlgEquivproof · cited by 19
- MvPolynomial.rename_injectiveproof · cited by 11
- Polynomial.toMvPolynomialstatement · cited by 11
- Polynomial.toMvPolynomial_eq_rename_compproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.toMvPolynomial_injproof · cited by 0