Theorems · Theorem · order theory
Partition.Rel.symm
∀ {α : Type u_1} {x y : α} {u : Set α} {P : Partition u}, P.Rel x y → P.Rel y x- Defined in
- Mathlib.Order.Partition.Basic
- Cited by
- 5 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.
Cites4
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 and proof · cited by 22
- symm_ofproof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- Partition.Rel.right_memproof · cited by 2
- Partition.IsRepFun.exists_extend_partialproof · cited by 1
- Partition.rel_commproof · cited by 1
- Partition.IsRepFun.apply_applyproof · cited by 0
- Partition.IsRepFun.apply_eq_apply_iffproof · cited by 0