Theorems · Theorem · ring theory
SkewPolynomial.monomial_neg
∀ {R : Type u_1} [inst : Ring R] (n : ℕ) (a : R), (SkewPolynomial.monomial n) (-a) = -(SkewPolynomial.monomial n) a- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- LinearMapstatement · cited by 10,215
- Ringstatement and proof · cited by 7,463
- Multiplicativestatement · cited by 875
- neg_add_cancelproof · cited by 256
- SkewPolynomialstatement and proof · cited by 124
- SkewPolynomial.monomialstatement and proof · cited by 49
- eq_neg_iff_add_eq_zeroproof · cited by 32
- SkewPolynomial.monomial_addproof · cited by 2
- SkewPolynomial.monomial_zero_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SkewPolynomial.monomial_subproof · cited by 0