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.cardDown-compressing a family doesn't change its size.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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Cites19
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.coeproof · cited by 8,199
- Finset.cardstatement and proof · cited by 2,327
- Finset.filterproof · cited by 949
- Finset.imageproof · cited by 910
- Finset.eraseproof · cited by 455
- Finset.mem_filterproof · cited by 185
- Finset.mem_coeproof · cited by 91
- Set.InjOn.monoproof · cited by 61
- not_imp_commproof · cited by 56
- Finset.card_union_of_disjointproof · cited by 37
- Finset.card_image_of_injOnproof · cited by 36
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