[Merged by Bors] - feat: Finset of arbitrary size in an infinite type #8348
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and a few other easy lemmas
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| @@ -1651,6 +1667,14 @@ end Set | |||
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| namespace Finset | |||
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| lemma exists_card_eq [Infinite α] : ∀ n : ℕ, ∃ s : Finset α, s.card = n | |||
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Does this come from the fact that Tendsto Finset.card atTop atTop in some way? Or, can this make the proof of that easier?
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Kind of? You would then need to use Finset.exists_intermediate to go from an arbitrary size finset back to the size you want. Certainly it doesn't look like an easier proof.
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and a few other easy lemmas
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and a few other easy lemmas
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and a few other easy lemmas