Theorems · Theorem · ring theory
SkewPolynomial.C_inj
∀ {R : Type u_1} [inst : Semiring R] {a b : R}, SkewPolynomial.C a = SkewPolynomial.C b ↔ a = b- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 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.
Cites7
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
- Semiringstatement and proof · cited by 13,802
- AddMonoidHomstatement · cited by 3,230
- Multiplicativestatement · cited by 875
- SkewPolynomialstatement · cited by 124
- SkewPolynomial.Cstatement and proof · cited by 32
- SkewPolynomial.coeff_C_zeroproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SkewPolynomial.C_eq_zeroproof · cited by 0