Theorems · Definition · group theory
SMulZeroClass.toZeroHom
{M : Type u_1} → (A : Type u_7) → [inst : Zero A] → [SMulZeroClass M A] → M → ZeroHom A AEach element of the scalars defines a zero-preserving map.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- ZeroSMulZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SMulZeroClassstatement and proof · cited by 213
- ZeroHomstatement · cited by 161
- SMulZeroClass.smul_zeroproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- DistribSMul.toAddMonoidHomproof · cited by 20
- SMulZeroClass.toZeroHom_applystatement and proof · cited by 0