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Theorems · Theorem · combinatorics

Multiset.card_eq_one

∀ {α : Type u_1} {s : Multiset α}, s.card = 1 ↔ ∃ a, s = {a}
Defined in
Mathlib.Data.Multiset.ZeroCons
Cited by
4 results in Mathlib
Foundations
Depth 16 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.

Equiv.Perm.card_cycleType_eq_one · cited by 3Perm.card_cycleType_eq_oneMultiset.map_eq_singleton · cited by 1Multiset.map_eq_singletonisAddFreimanIso_one_iff · cited by 0isAddFreimanIso_one_iffisAddFreimanHom_one_iff · cited by 0isAddFreimanHom_one_iffMultiset · cited by 2627MultisetMultiset.card · cited by 375Multiset.cardMultiset.card_eq_oneCITED BYCITES

Cites2

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Cited by4

Results whose statement or proof uses this declaration.