Theorems · Theorem · order theory
Set.eq_of_nonempty_of_subsingleton
∀ {α : Type u_3} [Subsingleton α] (s t : Set α) [Nonempty ↑s] [Nonempty ↑t], s = t- Defined in
- Mathlib.Data.Set.Insert
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- SubsingletonNonemptyNonempty
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
- Set.Elemstatement and proof · cited by 7,166
- Set.Nonempty.of_subtypeproof · cited by 5
- Set.Nonempty.eq_univproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Set.eq_of_nonempty_of_subsingleton'proof · cited by 2