Theorems · Definition · group theory
Set.singletonAddMonoidHom
{α : Type u_2} → [inst : AddZeroClass α] → α →+ Set αThe singleton operation as an AddMonoidHom.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddHomproof · cited by 294
- AddHom.toFunproof · cited by 168
- ZeroHomproof · cited by 161
- Set.addZeroClassstatement · cited by 7
- Set.singletonAddHomproof · cited by 2
- Set.singletonZeroHomproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- IsAddUnit.setproof · cited by 2
- Set.finsetSum_singletonproof · cited by 1
- Set.singletonAddMonoidHom_applystatement · cited by 0
- Set.multiset_sum_singletonproof · cited by 0
- Set.list_sum_singletonproof · cited by 0
- Set.coe_singletonAddMonoidHomstatement · cited by 0