Theorems · Theorem · order theory
Partition.sUnion_eq
∀ {α : Type u_1} {s : Set α} (P : Partition s), ⋃₀ ↑P = s- Defined in
- Mathlib.Order.Partition.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- SetLike.coestatement · cited by 8,199
- Set.sUnionstatement · cited by 392
- Partitionstatement and proof · cited by 91
- Partition.sSup_eqproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Partition.mem_iff_uniqueproof · cited by 1
- Partition.mem_iff_existsproof · cited by 1