Theorems · Theorem · logic and foundations
Unique.uniq
∀ {α : Sort u} (self : Unique α) (a : α), a = defaultIn a Unique type, every term is equal to the default element (from Inhabited).
- Defined in
- Mathlib.Logic.Unique
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Uniquestatement and proof · cited by 400
- Unique.toInhabitedstatement · cited by 11
Cited by12
Results whose statement or proof uses this declaration.
- Unique.eq_defaultproof · cited by 38
- Unique.default_eqproof · cited by 3
- FiniteDimensional.basisSingleton_applyproof · cited by 2
- hasSum_uniqueproof · cited by 1
- OreLocalization.nsmul_eq_nsmulproof · cited by 1
- OreLocalization.zsmul_eq_zsmulproof · cited by 1
- unique_subtype_iff_existsUniqueproof · cited by 1
- hasProd_uniqueproof · cited by 1
- MeasureTheory.integral_uniqueproof · cited by 0
- unique_iff_existsUniqueproof · cited by 0
- MeasureTheory.VectorMeasure.integral_uniqueproof · cited by 0
- SimpleGraph.support_of_subsingletonproof · cited by 0