Theorems · Theorem · order theory
Setoid.IsPartition.sUnion_eq_univ
∀ {α : Type u_1} {c : Set (Set α)}, Setoid.IsPartition c → ⋃₀ c = Set.univ- Defined in
- Mathlib.Data.Setoid.Partition
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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Cites7
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
- Set.univstatement · cited by 3,945
- Set.sUnionstatement · cited by 392
- ExistsUniqueproof · cited by 268
- Set.eq_univ_of_forallproof · cited by 80
- Setoid.IsPartitionstatement and proof · cited by 18
- Set.mem_sUnionproof · cited by 11
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