Theorems · Theorem · combinatorics
Finset.mem_attach
∀ {α : Type u_1} (s : Finset α) (x : ↥s), x ∈ s.attach- Defined in
- Mathlib.Data.Finset.Attach
- Cited by
- 13 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.
Cites4
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.valproof · cited by 438
- Finset.attachstatement · cited by 168
- Multiset.mem_attachproof · cited by 3
Cited by13
Results whose statement or proof uses this declaration.
- Module.mem_support_iff_of_finiteproof · cited by 4
- IsLocalization.finsetIntegerMultiple_imageproof · cited by 3
- Algebra.FiniteType.of_span_eq_top_targetproof · cited by 2
- Finpartition.mem_bindproof · cited by 1
- Set.Finite.infClosureproof · cited by 1
- Localization.existsUnique_algebraMap_eq_of_span_eq_topproof · cited by 1
- Ideal.span_range_pow_eq_topproof · cited by 1
- FixedPoints.linearIndependent_smul_of_linearIndependentproof · cited by 1
- Order.exists_orderEmbedding_insertproof · cited by 1
- Submodule.FG.stabilizes_of_iSup_eqproof · cited by 1
- IsLocalizedModule.finsetIntegerMultiple_imageproof · cited by 1
- Finset.sum_dite_of_falseproof · cited by 1