Theorems · Theorem · combinatorics

Set.Sized.uvCompression

∀ {α : Type u_1} [inst : DecidableEq α] {𝒜 : Finset (Finset α)} {u v : Finset α} {r : ℕ},
  u.card = v.card → Set.Sized r ↑𝒜 → Set.Sized r ↑(UV.compression u v 𝒜)

Defined in: Mathlib.Combinatorics.SetFamily.Compression.UV
Cited by: 0 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DecidableEq

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Finsetstatement and proof · cited by 13,712
SetLike.coestatement and proof · cited by 8,199
Finset.cardstatement and proof · cited by 2,327
Set.Sizedstatement and proof · cited by 35
UV.compressproof · cited by 20
UV.compressionstatement · cited by 15
UV.card_compressproof · cited by 1

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