Theorems · Theorem · commutative algebra
MvPolynomial.expand_injective
∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] {n : ℕ}, 0 < n → Function.Injective ⇑(MvPolynomial.expand n)Expansion is injective.
- Defined in
- Mathlib.Algebra.MvPolynomial.Expand
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 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.
Cites9
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
- Finsuppstatement and proof · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.coeffproof · cited by 315
- MvPolynomial.extproof · cited by 61
- MvPolynomial.expandstatement and proof · cited by 44
- MvPolynomial.coeff_expand_smulproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.expand_injproof · cited by 1
- MvPolynomial.expand_eq_zeroproof · cited by 1