Order.succ

{α : Type u_1} → [inst : Preorder α] → [SuccOrder α] → α → α

The successor of an element. If a is not maximal, then succ a is the least element greater than a. If a is maximal, then succ a = a.

Defined in: Mathlib.Order.SuccPred.Basic
Cited by: 633 results in Mathlib
Foundations: Depth 3 from the axioms, rests on 4 definitions · uses no axioms
Assumes: Preorder SuccOrder

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