Theorems · Theorem · number theory
not_mulDissociated
∀ {α : Type u_1} [inst : CommGroup α] {s : Set α},
¬MulDissociated s ↔ ∃ t, ↑t ⊆ s ∧ ∃ u, ↑u ⊆ s ∧ t ≠ u ∧ ∏ x ∈ t, x = ∏ x ∈ u, x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Finset.prodstatement · cited by 2,356
- CommGroupstatement and proof · cited by 990
- MulDissociatedstatement · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- not_mulDissociated_iff_exists_disjointproof · cited by 1