Theorems · Theorem · order theory
Finset.card_Ioo_finset
∀ {α : Type u_1} [inst : DecidableEq α] {s t : Finset α}, s ⊆ t → (Finset.Ioo s t).card = 2 ^ (t.card - s.card) - 2Cardinality of an Ioo of finsets.
- Defined in
- Mathlib.Data.Finset.Interval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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Cites5
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
- Finset.cardstatement and proof · cited by 2,327
- Finset.Ioostatement · cited by 185
- Finset.card_Ioo_eq_card_Icc_sub_twoproof · cited by 6
- Finset.card_Icc_finsetproof · cited by 3
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