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Theorems · Theorem · combinatorics

Down.card_compression

∀ {α : Type u_1} [inst : DecidableEq α] (a : α) (𝒜 : Finset (Finset α)), (Down.compression a 𝒜).card = 𝒜.card

Down-compressing a family doesn't change its size.

Defined in
Mathlib.Combinatorics.SetFamily.Compression.Down
Cited by
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Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq

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