Theorems · Theorem · combinatorics
Multiset.card_eq_card_of_rel
∀ {α : Type u_1} {β : Type v} {r : α → β → Prop} {s : Multiset α} {t : Multiset β}, Multiset.Rel r s t → s.card = t.card- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 15 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.cardstatement and proof · cited by 375
- Multiset.Relstatement and proof · cited by 47
- Multiset.card_consproof · cited by 19
Cited by5
Results whose statement or proof uses this declaration.
- WfDvdMonoid.of_exists_prime_factorsproof · cited by 1
- Multiset.rel_replicate_leftproof · cited by 1
- IsDiscreteValuationRing.unit_mul_pow_congr_powproof · cited by 1
- Associated.card_factors_eqproof · cited by 1
- IsRelPrime.moebius_mulproof · cited by 0