Theorems · Theorem · combinatorics
Multiset.rel_cons_right
∀ {α : Type u_1} {β : Type v} {r : α → β → Prop} {as : Multiset α} {b : β} {bs : Multiset β},
Multiset.Rel r as (b ::ₘ bs) ↔ ∃ a as', r a b ∧ Multiset.Rel r as' bs ∧ as = a ::ₘ as'- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Multisetstatement and proof · cited by 2,627
- Multiset.consstatement and proof · cited by 313
- Multiset.Relstatement and proof · cited by 47
- Multiset.rel_flipproof · cited by 6
- Multiset.rel_cons_leftproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.rel_of_forallproof · cited by 1
- Multiset.Rel.transproof · cited by 0