Theorems · Theorem · ring theory
SkewPolynomial.monomial_injective
∀ {R : Type u_1} (n : ℕ) [inst : Semiring R], Function.Injective ⇑(SkewPolynomial.monomial n)- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Multiplicativestatement · cited by 875
- Multiplicative.ofAddproof · cited by 237
- SkewPolynomialstatement · cited by 124
- SkewPolynomial.monomialstatement · cited by 49
- SkewMonoidAlgebra.single_injectiveproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- SkewPolynomial.C_injectiveproof · cited by 0
- SkewPolynomial.monomial_eq_zero_iffproof · cited by 0