Theorems · Theorem · combinatorics
Multiset.mem_singleton_self
∀ {α : Type u_1} (a : α), a ∈ {a}- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, 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.
- Multisetstatement and proof · cited by 2,627
- Multiset.mem_cons_selfproof · cited by 44
- Multiset.cons_zeroproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.normalizedFactors_irreducibleproof · cited by 10
- Multiset.count_singleton_selfproof · cited by 4
- Multiset.singleton_leproof · cited by 3
- irreducible_iff_prime_of_exists_prime_factorsproof · cited by 1