Theorems · Theorem · group theory
Set.singleton_add_singleton
∀ {α : Type u_2} [inst : Add α] {a b : α}, {a} + {b} = {a + b}- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Add
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.
- Setstatement · cited by 53,352
- Set.addstatement · cited by 338
- Set.image2_singletonproof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- Set.add_eq_zero_iffproof · cited by 3
- Set.isAddUnit_iffproof · cited by 2
- spectrum.scalar_eqproof · cited by 2