Theorems · Theorem · combinatorics
Multiset.map_lt_map
∀ {α : Type u_1} {β : Type v} {f : α → β} {s t : Multiset α}, s < t → Multiset.map f s < Multiset.map f t- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- LT.lt.leproof · cited by 2,189
- Multiset.mapstatement and proof · cited by 876
- LT.lt.neproof · cited by 872
- Multiset.cardproof · cited by 375
- Multiset.card_mapproof · cited by 57
- LE.le.lt_of_not_geproof · cited by 21
- Multiset.map_le_mapproof · cited by 14
- Multiset.eq_of_le_of_card_leproof · cited by 11
- Multiset.card_le_cardproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- Multiset.disjSum_lt_disjSum_of_lt_of_leproof · cited by 2
- Multiset.disjSum_lt_disjSum_of_le_of_ltproof · cited by 2
- Multiset.map_strictMonoproof · cited by 0