Theorems · Theorem · order theory
Partition.rep_rel
∀ {α : Type u_1} {x : α} {u t : Set α} {P : Partition u} (ht : t ∈ P), x ∈ t → P.Rel x (P.rep ht)Any element of a part is related to the representative of that part.
- Defined in
- Mathlib.Order.Partition.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 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
- Partition.Relstatement · cited by 22
- Partition.repstatement · cited by 7
- Partition.rep_memproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Partition.IsRepFun.exists_extend_partialproof · cited by 1