Theorems · Definition · ring theory
SkewPolynomial.CRingHom
{R : Type u_1} → [inst : Semiring R] → [inst_1 : MulSemiringAction (Multiplicative ℕ) R] → R →+* SkewPolynomial RCRingHom a is the constant SkewPolynomial a, as a ring homomorphism. This requires
[MulSemiringAction (Multiplicative ℕ) R].
- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulSemiringAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Multiplicativestatement and proof · cited by 875
- MulSemiringActionstatement and proof · cited by 423
- SkewPolynomialstatement · cited by 124
- SkewMonoidAlgebra.singleOneRingHomproof · cited by 2
Cited by10
Results whose statement or proof uses this declaration.
- SkewPolynomial.X_pow_eq_monomialproof · cited by 2
- SkewPolynomial.CRingHom_eq_Cstatement · cited by 0
- SkewPolynomial.C_eq_intCastproof · cited by 0
- SkewPolynomial.C_eq_natCastproof · cited by 0
- SkewPolynomial.C_mulproof · cited by 0
- SkewPolynomial.C_negproof · cited by 0
- SkewPolynomial.C_powproof · cited by 0
- SkewPolynomial.C_subproof · cited by 0
- SkewPolynomial.coeff_oneproof · cited by 0
- SkewPolynomial.monomial_one_right_eq_X_powproof · cited by 0