Theorems · Theorem · group theory
Finset.isAddUnit_iff
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : SubtractionMonoid α] {s : Finset α},
IsAddUnit s ↔ ∃ a, s = {a} ∧ IsAddUnit a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqSubtractionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- AddUnitsproof · cited by 325
- AddUnits.valproof · cited by 248
- IsAddUnitstatement and proof · cited by 215
- SubtractionMonoidstatement and proof · cited by 208
- Finset.addMonoidstatement · cited by 19
- AddUnits.add_negproof · cited by 19
- AddUnits.neg_addproof · cited by 17
- Finset.singleton_injectiveproof · cited by 14
- IsAddUnit.finsetproof · cited by 2
- Finset.add_eq_zero_iffproof · cited by 1
- Finset.singleton_add_singletonproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finset.isAddUnit_coeproof · cited by 0