Theorems · Theorem · combinatorics
Finset.subset_cons
∀ {α : Type u_1} {s : Finset α} {a : α} (h : a ∉ s), s ⊆ Finset.cons a s h- Defined in
- Mathlib.Data.Finset.Insert
- Cited by
- 5 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.
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.consstatement · cited by 221
- Multiset.subset_consproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Infinite.exists_superset_card_eqproof · cited by 3
- Polynomial.quo_mul_prod_add_sum_rem_mul_prod_uniqueproof · cited by 1
- Ideal.iSup_iInf_eq_top_iff_pairwiseproof · cited by 1
- Finset.card_biUnion_le_of_intersectingproof · cited by 0
- Convexity.IsConvexSet.of_convexCombPair_memproof · cited by 0