Theorems · Theorem · logic and foundations
Set.pairwise_singleton
∀ {α : Type u_1} (a : α) (r : α → α → Prop), {a}.Pairwise r- Defined in
- Mathlib.Data.Set.Pairwise.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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 · cited by 53,352
- Set.Pairwisestatement · cited by 321
- Set.subsingleton_singletonproof · cited by 36
- Set.Subsingleton.pairwiseproof · cited by 13
Cited by7
Results whose statement or proof uses this declaration.
- IsAntichain.singletonproof · cited by 3
- IsChain.singletonproof · cited by 2
- strictConvex_singletonproof · cited by 1
- Dynamics.isDynNetIn_singletonproof · cited by 1
- Set.pairwiseDisjoint_singletonproof · cited by 0
- SetRel.IsSeparated.singletonproof · cited by 0
- Metric.IsSeparated.singletonproof · cited by 0