Theorems · Theorem · order theory
Finset.Ioo_succ_right_eq_Ioc_of_not_isMax
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : LocallyFiniteOrder α] [inst_2 : SuccOrder α] {b : α},
¬IsMax b → ∀ (a : α), Finset.Ioo a (Order.succ b) = Finset.Ioc a b- Defined in
- Mathlib.Order.Interval.Finset.SuccPred
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- IsMaxstatement and proof · cited by 372
- Finset.Iocstatement and proof · cited by 301
- Finset.Ioostatement and proof · cited by 185
- Finset.coe_injectiveproof · cited by 127
- Finset.coe_Iocproof · cited by 55
- Finset.coe_Iooproof · cited by 48
- Set.Ioo_succ_right_eq_Ioc_of_not_isMaxproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Finset.Ioo_add_one_right_eq_Ioc_of_not_isMaxproof · cited by 0