Theorems · Theorem · order theory
Partition.rep_mem
∀ {α : Type u_1} {u t : Set α} {P : Partition u} (ht : t ∈ P), P.rep ht ∈ tThe representative of a part belongs to that part.
- Defined in
- Mathlib.Order.Partition.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 62 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
- Partitionstatement and proof · cited by 91
- Set.Nonempty.some_memproof · cited by 42
- Partition.repstatement · cited by 7
- Partition.nonempty_of_memproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Partition.rep_relproof · cited by 1
- Partition.partOf_repproof · cited by 1
- Partition.rep_mem_suppproof · cited by 1