Theorems · Theorem · combinatorics
Finset.shatters_univ
∀ {α : Type u_1} [inst : DecidableEq α] {𝒜 : Finset (Finset α)} [inst_1 : Fintype α],
𝒜.Shatters Finset.univ ↔ 𝒜 = Finset.univ- Defined in
- Mathlib.Combinatorics.SetFamily.Shatter
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
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Cites9
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
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- Finset.imageproof · cited by 910
- Finset.Shattersstatement · cited by 19
- Finset.univ_interproof · cited by 19
- Finset.powerset_univproof · cited by 6
- Finset.image_id'proof · cited by 3
- Finset.shatters_iffproof · cited by 1
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