Theorems · Theorem · combinatorics
Multiset.toFinset_cons
∀ {α : Type u_1} [inst : DecidableEq α] (a : α) (s : Multiset α), (a ::ₘ s).toFinset = insert a s.toFinset- Defined in
- Mathlib.Data.Finset.Insert
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Multisetstatement and proof · cited by 2,627
- Multiset.consstatement · cited by 313
- Multiset.toFinsetstatement · cited by 230
- Finset.eq_of_veqproof · cited by 45
- Multiset.dedup_consproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.toFinset_singletonproof · cited by 9
- Ideal.pow_multiset_sum_mem_span_powproof · cited by 1