Theorems · Theorem · order theory
Order.succ_le_iff_isMax
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : SuccOrder α] {a : α}, Order.succ a ≤ a ↔ IsMax a- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Order.succstatement and proof · cited by 633
- SuccOrderstatement and proof · cited by 574
- IsMaxstatement and proof · cited by 372
- Order.le_succproof · cited by 96
- Order.max_of_succ_leproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Order.succ_le_iff_eq_topproof · cited by 0
- IsMax.succ_leproof · cited by 0
- IsMax.of_succ_leproof · cited by 0