Theorems · Theorem · combinatorics
Multiset.card_replicate
∀ {α : Type u_1} (n : ℕ) (a : α), (Multiset.replicate n a).card = n- Defined in
- Mathlib.Data.Multiset.Replicate
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multiset.cardstatement · cited by 375
- Multiset.replicatestatement · cited by 88
Cited by13
Results whose statement or proof uses this declaration.
- Sym.replicateproof · cited by 15
- Multiset.eq_replicateproof · cited by 9
- Equiv.Perm.count_le_one_of_centralizer_le_alternatingproof · cited by 1
- Multiset.rel_replicate_leftproof · cited by 1
- IsDiscreteValuationRing.unit_mul_pow_congr_powproof · cited by 1
- Finset.sum_pow_of_commuteproof · cited by 1
- Equiv.Perm.sign_of_cycleType_eq_replicateproof · cited by 1
- Multiset.count_map_eq_countproof · cited by 1
- Equiv.Perm.isCycle_of_prime_orderproof · cited by 1
- NumberField.totalWeight_posproof · cited by 1
- alternatingGroup.isConj_swap_mul_swap_of_cycleType_twoproof · cited by 0
- Multiset.replicate_left_injectiveproof · cited by 0