Theorems · Theorem · order theory
Order.Ici_succ_of_not_isMax
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : SuccOrder α] {a : α}, ¬IsMax a → Set.Ici (Order.succ a) = Set.Ioi a- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.extproof · cited by 2,266
- Set.Ioistatement · cited by 1,463
- Set.Icistatement · cited by 1,070
- Order.succstatement · cited by 633
- SuccOrderstatement and proof · cited by 574
- IsMaxstatement and proof · cited by 372
- Order.succ_le_iff_of_not_isMaxproof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- Order.Ico_succ_left_of_not_isMaxproof · cited by 2
- Order.Icc_succ_left_of_not_isMaxproof · cited by 2
- Order.Ici_succproof · cited by 1