Theorems · Theorem · group theory
Finset.isUnit_iff
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : DivisionMonoid α] {s : Finset α}, IsUnit s ↔ ∃ a, s = {a} ∧ IsUnit a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqDivisionMonoid
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
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- IsUnitstatement and proof · cited by 1,602
- DivisionMonoidstatement and proof · cited by 201
- Units.mul_invproof · cited by 67
- Units.inv_mulproof · cited by 46
- Finset.monoidstatement · cited by 20
- Finset.singleton_injectiveproof · cited by 14
- Finset.singleton_mul_singletonproof · cited by 2
- IsUnit.finsetproof · cited by 2
- Finset.mul_eq_one_iffproof · cited by 1
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