Theorems · Theorem · order theory
Partition.partOf_rep
∀ {α : Type u_1} {u s : Set α} {P : Partition u} (hs : s ∈ P), P.partOf (P.rep hs) = s- Defined in
- Mathlib.Order.Partition.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Partitionstatement and proof · cited by 91
- Partition.partOfstatement · cited by 13
- Partition.repstatement · cited by 7
- Partition.rep_memproof · cited by 3
- Partition.eq_partOf_of_memproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Partition.mem_iff_exists_partOfproof · cited by 0