Theorems · Theorem · combinatorics
Finset.subset_empty
∀ {α : Type u_1} {s : Finset α}, s ⊆ ∅ ↔ s = ∅- Defined in
- Mathlib.Data.Finset.Empty
- Cited by
- 4 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.val_eq_zeroproof · cited by 12
- Multiset.subset_zeroproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Finset.filter_emptyproof · cited by 23
- Nat.eq_properDivisors_of_subset_of_sum_eq_sumproof · cited by 2
- Finset.shatters_emptyproof · cited by 0
- SimpleGraph.Walk.exists_mem_support_forall_mem_support_imp_eqproof · cited by 0