Theorems · Theorem · ring theory
SkewMonoidAlgebra.single_zero
∀ {k : Type u_1} {G : Type u_2} [inst : AddMonoid k] (a : G), SkewMonoidAlgebra.single a 0 = 0- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.singlestatement · cited by 83
- Finsupp.single_zeroproof · cited by 63
Cited by8
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.single_mul_singleproof · cited by 4
- SkewMonoidAlgebra.mapDomain_singleproof · cited by 3
- SkewPolynomial.C_0proof · cited by 2
- SkewPolynomial.monomial_zero_rightproof · cited by 2
- SkewMonoidAlgebra.natCast_defproof · cited by 1
- SkewMonoidAlgebra.mapDomain_compproof · cited by 0
- SkewMonoidAlgebra.induction_on'proof · cited by 0
- SkewMonoidAlgebra.mapDomain_mulproof · cited by 0