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Theorems · Theorem · combinatorics

Multiset.card_add

∀ {α : Type u_1} (s t : Multiset α), (s + t).card = s.card + t.card
Defined in
Mathlib.Data.Multiset.AddSub
Cited by
8 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
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Around this declaration

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

ArithmeticFunction.cardFactors_mul · cited by 6ArithmeticFunction.cardFa…Finset.card_disjUnion · cited by 5Finset.card_disjUnionMultiset.cardHom · cited by 4Multiset.cardHomMultiset.countP_map · cited by 2Multiset.countP_mapMultiset.card_disjSum · cited by 1Multiset.card_disjSumMultiset.card_sub · cited by 1Multiset.card_subWfDvdMonoid.of_exists_prime_factors · cited by 1WfDvdMonoid.of_exists_pri…Multiset.card_join · cited by 1Multiset.card_joinIsRelPrime.moebius_mul · cited by 0IsRelPrime.moebius_mulMultiset · cited by 2627MultisetMultiset.card · cited by 375Multiset.cardMultiset.card_addCITED BYCITES

Cites2

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

Cited by9

Results whose statement or proof uses this declaration.