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Theorems · Theorem · combinatorics

Multiset.rel_join

∀ {α : Type u_1} {β : Type v} {r : α → β → Prop} {s : Multiset (Multiset α)} {t : Multiset (Multiset β)},
  Multiset.Rel (Multiset.Rel r) s t → Multiset.Rel r s.join t.join
Defined in
Mathlib.Data.Multiset.Bind
Cited by
1 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Multiset.rel_bind · cited by 0Multiset.rel_bindMultiset · cited by 2627MultisetMultiset.Rel · cited by 47Multiset.RelMultiset.join · cited by 21Multiset.joinMultiset.join_cons · cited by 9Multiset.join_consMultiset.Rel.add · cited by 1Rel.addMultiset.rel_joinCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.