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Theorems · Theorem · combinatorics

Finset.powersetCard_nonempty

∀ {α : Type u_1} {n : ℕ} {s : Finset α}, (Finset.powersetCard n s).Nonempty ↔ n ≤ s.card
Defined in
Mathlib.Data.Finset.Powerset
Cited by
3 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Finset.powersetCard_sup · cited by 2Finset.powersetCard_supIsNonarchimedean.finset_powerset_image_add · cited by 0IsNonarchimedean.finset_p…Finset.powersetCard_nonempty_of_le · cited by 0Finset.powersetCard_nonem…Finset · cited by 13712FinsetFinset.card · cited by 2327Finset.cardFinset.Nonempty · cited by 1001Finset.NonemptyFinset.powersetCard · cited by 60Finset.powersetCardFinset.powersetCard_nonemptyCITED BYCITES

Cites4

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Cited by3

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