Theorems · Theorem · combinatorics
Multiset.rel_map_left
∀ {α : Type u_1} {β : Type v} {γ : Type u_2} {r : α → β → Prop} {s : Multiset γ} {f : γ → α} {t : Multiset β},
Multiset.Rel r (Multiset.map f s) t ↔ Multiset.Rel (fun a b => r (f a) b) s t- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Multisetstatement and proof · cited by 2,627
- Multiset.mapstatement and proof · cited by 876
- Multiset.consproof · cited by 313
- Multiset.induction_onproof · cited by 109
- Multiset.map_consproof · cited by 93
- Multiset.Relstatement and proof · cited by 47
Cited by4
Results whose statement or proof uses this declaration.
- Multiset.rel_mapproof · cited by 5
- Multiset.sum_map_le_sumproof · cited by 2
- Multiset.prod_map_le_prodproof · cited by 2
- Multiset.rel_map_rightproof · cited by 1