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Theorems · Theorem · combinatorics

Multiset.coe_toList

∀ {α : Type u_1} (s : Multiset α), ↑s.toList = s
Defined in
Mathlib.Data.Multiset.Basic
Cited by
18 results in Mathlib
Foundations
Depth 12 from the axioms · uses Classical.choice
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Around this declaration

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

Multiset.mem_toList · cited by 8Multiset.mem_toListFinset.nodup_toList · cited by 8Finset.nodup_toListFinset.coe_toList · cited by 4Finset.coe_toListMultiset.prod_toList · cited by 3Multiset.prod_toListMultiset.prod_erase · cited by 2Multiset.prod_eraseMultiset.sum_toList · cited by 2Multiset.sum_toListEquiv.Perm.exists_with_cycleType_iff · cited by 2Perm.exists_with_cycleTyp…Multiset.toList_eq_nil · cited by 2Multiset.toList_eq_nilMultiset.toList_eq_singleton_iff · cited by 2Multiset.toList_eq_single…Finset.length_toList · cited by 2Finset.length_toListMultiset.length_toList · cited by 2Multiset.length_toListMultiset.sum_map_toList · cited by 2Multiset.sum_map_toListMultiset.prod_map_erase · cited by 1Multiset.prod_map_erasemultisetProd_apply_eq_zero · cited by 0multisetProd_apply_eq_zeromultisetProd_apply_eq_zero' · cited by 0multisetProd_apply_eq_zer…Multiset · cited by 2627MultisetMultiset.ofList · cited by 290Multiset.ofListQuotient.out_eq' · cited by 35Quotient.out_eq'Multiset.toList · cited by 26Multiset.toListMultiset.coe_toListCITED BYCITES

Cites4

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Cited by18

Results whose statement or proof uses this declaration.