Theorems · Theorem · number theory
mulDissociated_iff_sum_eq_subsingleton
∀ {α : Type u_1} [inst : CommGroup α] {s : Set α},
MulDissociated s ↔ ∀ (a : α), {t | ↑t ⊆ s ∧ ∏ x ∈ t, x = a}.Subsingleton- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
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Cites8
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
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Set.ofPredstatement and proof · cited by 6,101
- Finset.prodstatement and proof · cited by 2,356
- CommGroupstatement and proof · cited by 990
- Set.Subsingletonstatement and proof · cited by 276
- MulDissociatedstatement and proof · cited by 11
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