Theorems · Theorem · order theory
Set.insert_idem
∀ {α : Type u_1} (a : α) (s : Set α), insert a (insert a s) = insert a s- Defined in
- Mathlib.Data.Set.Insert
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by4
Results whose statement or proof uses this declaration.
- contMDiffWithinAt_iff_contMDiffOn_nhdsproof · cited by 3
- contDiffWithinAt_insert_selfproof · cited by 2
- hasFPowerSeriesWithinOnBall_insert_selfproof · cited by 0
- convexJoin_singleton_segmentproof · cited by 0