Theorems · Theorem · combinatorics
Finset.ext
∀ {α : Type u_1} {s₁ s₂ : Finset α}, (∀ (a : α), a ∈ s₁ ↔ a ∈ s₂) → s₁ = s₂- Defined in
- Mathlib.Data.Finset.Defs
- Cited by
- 565 results in Mathlib
- Foundations
- Depth 54 from the axioms, rests on 806 definitions · uses propext, Classical.choice, 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.
- Finsetstatement and proof · cited by 13,712
- SetLike.extproof · cited by 92
Cited by565
Results whose statement or proof uses this declaration.
- Finset.univ_uniqueproof · cited by 94
- Finset.cons_eq_insertproof · cited by 59
- Finset.map_reflproof · cited by 32
- Finset.univ_interproof · cited by 19
- Finset.image₂_singleton_rightproof · cited by 17
- SSet.horn.multicoequalizerDiagramproof · cited by 16
- Finset.toFinset_coeproof · cited by 16
- Finset.image₂_singleton_leftproof · cited by 16
- Set.toFinset_singletonproof · cited by 14
- Finset.filter_falseproof · cited by 14
- Finset.filter_trueproof · cited by 14
- Finset.biUnion_insertproof · cited by 13
Showing the 200 most cited of 565.