Theorems · Theorem · combinatorics
Finset.empty_subset
∀ {α : Type u_1} (s : Finset α), ∅ ⊆ s- Defined in
- Mathlib.Data.Finset.Empty
- 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.
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.valproof · cited by 438
- Multiset.zero_subsetproof · cited by 1
Cited by12
Results whose statement or proof uses this declaration.
- Finset.exists_subset_card_eqproof · cited by 13
- addRothNumber_specproof · cited by 8
- mulRothNumber_specproof · cited by 6
- Finset.card_le_one_iff_subset_singletonproof · cited by 3
- Set.Intersecting.is_max_iff_card_eqproof · cited by 2
- SimpleGraph.IsUniform.posproof · cited by 2
- SimpleGraph.FarFromTriangleFree.nonposproof · cited by 2
- Finset.zero_mem_subsetSumproof · cited by 1
- WittVector.wittPolyProdRemainder_varsproof · cited by 1
- MeasureTheory.lintegral_mul_prod_lintegral_pow_leproof · cited by 1
- Finset.empty_mem_ssubsetsproof · cited by 0
- SimpleGraph.not_isUniform_zeroproof · cited by 0