Theorems · Theorem · combinatorics
Finset.singleton_subset_set_iff
∀ {α : Type u_1} {s : Set α} {a : α}, ↑{a} ⊆ s ↔ a ∈ s- 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
Cited by5
Results whose statement or proof uses this declaration.
- Finset.singleton_subset_iffproof · cited by 38
- MeasureTheory.addContent_monoproof · cited by 6
- Finsupp.single_mem_supportedproof · cited by 5
- InnerProductSpace.span_gramSchmidtNormedproof · cited by 2
- Polynomial.toSubring_onestatement and proof · cited by 0