Theorems · Theorem · combinatorics
Multiset.Rel.add
∀ {α : Type u_1} {β : Type v} {r : α → β → Prop} {s : Multiset α} {t : Multiset β} {u : Multiset α} {v : Multiset β},
Multiset.Rel r s t → Multiset.Rel r u v → Multiset.Rel r (s + u) (t + v)- Defined in
- Mathlib.Data.Multiset.AddSub
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 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.Relstatement and proof · cited by 47
- Multiset.zero_addproof · cited by 15
- Multiset.cons_addproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.rel_joinproof · cited by 1