Theorems · Theorem · combinatorics
Finset.mem_cons_of_mem
∀ {α : Type u_1} {a b : α} {s : Finset α} {hb : b ∉ s}, a ∈ s → a ∈ Finset.cons b s hb- Defined in
- Mathlib.Data.Finset.Insert
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.consstatement · cited by 221
- Multiset.mem_cons_of_memproof · cited by 35
Cited by17
Results whose statement or proof uses this declaration.
- Finset.exists_minimalForproof · cited by 2
- Units.mk0_prodproof · cited by 2
- ArchimedeanClass.mk_sumproof · cited by 2
- Finset.consPiProdproof · cited by 2
- Finset.exists_maximalForproof · cited by 2
- Finset.squarefree_prod_of_pairwise_isCoprimeproof · cited by 1
- Finset.attach_consstatement and proof · cited by 1
- Finset.disjiUnion_consstatement · cited by 1
- SModEq.sumproof · cited by 1
- Polynomial.quo_mul_prod_add_sum_rem_mul_prod_uniqueproof · cited by 1
- Finset.disjoint_disjiUnion_leftproof · cited by 1
- MeasureTheory.setToFun_finsetSum_measureproof · cited by 0