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Theorems · Theorem · combinatorics

Set.powersetCard.coe_nonempty_iff

∀ {α : Type u_1} {n : ℕ} {s : ↑(Set.powersetCard α n)}, (↑s).Nonempty ↔ 1 ≤ n
Defined in
Mathlib.Data.Set.PowersetCard
Cited by
2 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Set.powersetCard.isPreprimitive_alternatingGroup · cited by 2powersetCard.isPreprimiti…Set.powersetCard.isPreprimitive_perm · cited by 1powersetCard.isPreprimiti…Set · cited by 53352SetFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeSet.Elem · cited by 7166Set.ElemSet.Nonempty · cited by 2627Set.NonemptySubtype.prop · cited by 505Subtype.propSet.powersetCard · cited by 100Set.powersetCardFinset.coe_nonempty · cited by 18Finset.coe_nonemptyFinset.one_le_card · cited by 4Finset.one_le_cardSet.powersetCard.coe_coe · cited by 3powersetCard.coe_coepowersetCard.coe_nonempty_iffCITED BYCITES

Cites10

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Cited by2

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