Theorems · Theorem · order theory
Finset.singleton_inter
∀ {α : Type u_1} [inst : DecidableEq α] {a : α} {s : Finset α}, {a} ∩ s = if a ∈ s then {a} else ∅- Defined in
- Mathlib.Data.Finset.Lattice.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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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.singleton_inter_of_memproof · cited by 3
- Finset.singleton_inter_of_notMemproof · cited by 2
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