Theorems · Definition · logic and foundations
ExistsUnique
{α : Sort u_1} → (α → Prop) → PropFor p : α → Prop, ExistsUnique p means that there exists a unique x : α with p x.
- Defined in
- Mathlib.Logic.ExistsUnique
- Cited by
- 268 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 4 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by306
Results whose statement or proof uses this declaration.
- CategoryTheory.Presieve.IsSheafForproof · cited by 111
- ExistsUnique.uniquestatement and proof · cited by 42
- SimpleGraph.Subgraph.IsMatchingproof · cited by 32
- ExistsUnique.existsstatement and proof · cited by 26
- CategoryTheory.ObjectProperty.IsDetectingproof · cited by 20
- existsUnique_of_exists_of_uniquestatement · cited by 19
- SSet.S.IsUniquelyCodimOneFaceproof · cited by 19
- Setoid.IsPartitionproof · cited by 18
- Function.bijective_iff_existsUniquestatement and proof · cited by 15
- CategoryTheory.ObjectProperty.IsCodetectingproof · cited by 13
- CategoryTheory.Limits.Types.type_equalizer_iff_uniquestatement and proof · cited by 8
- Function.Bijective.existsUnique_iffstatement and proof · cited by 8
Showing the 200 most cited of 306.