Theorems · Theorem · logic and foundations
nonempty_unique
∀ (α : Sort u) [Subsingleton α] [Nonempty α], Nonempty (Unique α)
- Defined in
- Mathlib.Logic.Unique
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses Classical.choice
- Assumes
- SubsingletonNonempty
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 · cited by 400
- Unique.mk'proof · cited by 1
Cited by11
Results whose statement or proof uses this declaration.
- Cardinal.mk_eq_oneproof · cited by 14
- unique_iff_subsingleton_and_nonemptyproof · cited by 6
- Ordinal.type_eq_one_of_uniqueproof · cited by 2
- OrderType.type_of_uniqueproof · cited by 2
- IsTranscendenceBasis.polynomialproof · cited by 1
- stdSimplex_uniqueproof · cited by 1
- Set.surjOn_univ_of_subsingleton_nonemptyproof · cited by 0
- CategoryTheory.AddMon.isZero_trivialproof · cited by 0
- CategoryTheory.Mon.isZero_trivialproof · cited by 0
- CategoryTheory.AddGrp.isZero_trivialproof · cited by 0
- CategoryTheory.Grp.isZero_trivialproof · cited by 0