Theorems · Theorem · combinatorics
Multiset.map_eq_zero
∀ {α : Type u_1} {β : Type v} {s : Multiset α} {f : α → β}, Multiset.map f s = 0 ↔ s = 0- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.mapstatement · cited by 876
- Multiset.card_mapproof · cited by 57
- Multiset.card_eq_zeroproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- Finset.le_sum_nonempty_of_subadditive_on_predproof · cited by 3
- Finset.sum_induction_nonemptyproof · cited by 2
- Multiset.zero_eq_mapproof · cited by 0