Theorems · Theorem · order theory
Finset.Ico_succ_left_eq_Ioo
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : LocallyFiniteOrder α] [inst_2 : SuccOrder α] (a b : α),
Finset.Ico (Order.succ a) b = Finset.Ioo a b- Defined in
- Mathlib.Order.Interval.Finset.SuccPred
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- LocallyFiniteOrderstatement and proof · cited by 658
- Order.succstatement and proof · cited by 633
- SuccOrderstatement and proof · cited by 574
- Finset.Icostatement and proof · cited by 450
- Finset.Ioostatement and proof · cited by 185
- Finset.coe_injectiveproof · cited by 127
- Finset.coe_Icoproof · cited by 66
- Finset.coe_Iooproof · cited by 48
- Set.Ico_succ_left_eq_Iooproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Finset.Ico_add_one_left_eq_Iooproof · cited by 0