Theorems · Theorem · order theory
Finset.card_Ioo_eq_card_Icc_sub_two
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] (a b : α),
(Finset.Ioo a b).card = (Finset.Icc a b).card - 2- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Finset.cardstatement and proof · cited by 2,327
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iccstatement and proof · cited by 348
- Finset.Ioostatement · cited by 185
- Finset.card_Ico_eq_card_Icc_sub_oneproof · cited by 8
- Finset.card_Ioo_eq_card_Ico_sub_oneproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Multiset.card_Iooproof · cited by 0
- Multiset.card_Ioo_eq_card_Icc_sub_twoproof · cited by 0
- Finset.card_Ioo_finsetproof · cited by 0
- Finsupp.card_Iooproof · cited by 0
- Pi.card_Iooproof · cited by 0
- DFinsupp.card_Iooproof · cited by 0