Theorems · Theorem · combinatorics
Multiset.toFinset_eq_empty
∀ {α : Type u_1} [inst : DecidableEq α] {m : Multiset α}, m.toFinset = ∅ ↔ m = 0- Defined in
- Mathlib.Data.Finset.Basic
- 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.
Cites5
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.toFinsetstatement · cited by 230
- Finset.val_injproof · cited by 9
- Multiset.dedup_eq_zeroproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.primeFactors_eq_empty_iffproof · cited by 1
- MvPolynomial.vars_eq_empty_iff_eq_Cproof · cited by 0