Theorems · Theorem · order theory
Set.pair_eq_singleton
∀ {α : Type u_1} (a : α), {a, a} = {a}- Defined in
- Mathlib.Data.Set.Insert
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
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.
- Setstatement · cited by 53,352
- Set.union_selfproof · cited by 32
Cited by3
Results whose statement or proof uses this declaration.
- Affine.Simplex.affineSpan_pair_eq_altitude_iffproof · cited by 2
- Set.infsep_pair_eq_toRealproof · cited by 1
- convexJoin_segment_singletonproof · cited by 0