Theorems · Theorem · combinatorics
Finset.ext_iff
∀ {α : Type u_1} {s₁ s₂ : Finset α}, s₁ = s₂ ↔ ∀ (a : α), a ∈ s₁ ↔ a ∈ s₂- Defined in
- Mathlib.Data.Finset.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 55 from the axioms · 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
- Finset.extproof · cited by 565
Cited by5
Results whose statement or proof uses this declaration.
- Affine.Simplex.excenter_singleton_injectiveproof · cited by 2
- Finset.card_preimage_eq_sum_card_image_eqproof · cited by 1
- Finset.uIcc_injective_rightproof · cited by 1
- Equiv.Perm.closure_prime_cycle_swapproof · cited by 1
- sum_card_addOrderOf_eq_card_nsmul_eq_zeroproof · cited by 1