Theorems · Theorem · combinatorics
Finset.Subset.antisymm
∀ {α : Type u_1} {s₁ s₂ : Finset α}, s₁ ⊆ s₂ → s₂ ⊆ s₁ → s₁ = s₂- Defined in
- Mathlib.Data.Finset.Defs
- Cited by
- 12 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 by12
Results whose statement or proof uses this declaration.
- Finsupp.support_negproof · cited by 6
- Nat.eq_properDivisors_of_subset_of_sum_eq_sumproof · cited by 2
- Finset.mul_inv_eq_inv_mul_of_doubling_lt_twoproof · cited by 2
- FormalMultilinearSeries.leftInv_compproof · cited by 2
- FormalMultilinearSeries.comp_rightInv_aux1proof · cited by 2
- MultilinearMap.map_sum_finset_auxproof · cited by 1
- MvPolynomial.support_map_of_injectiveproof · cited by 1
- Finsupp.mapDomain_support_of_injOnproof · cited by 1
- Finset.biUnion_sliceproof · cited by 1
- MvPolynomial.coeffs_one_of_nontrivialproof · cited by 0
- Geometry.SimplicialComplex.not_facet_iff_subfaceproof · cited by 0
- Finset.shatterer_eqproof · cited by 0