Theorems · Theorem · order theory

Order.isSuccLimitRecOn_of_isMin

∀ {α : Type u_1} {b : α} {motive : α → Sort u_2} [inst : LinearOrder α] [inst_1 : SuccOrder α]
  (isMin : (a : α) → IsMin a → motive a) (succ : (a : α) → ¬IsMax a → motive (Order.succ a))
  (isSuccLimit : (a : α) → Order.IsSuccLimit a → motive a) (hb : IsMin b),
  Order.isSuccLimitRecOn b isMin succ isSuccLimit = isMin b hb

Defined in

Mathlib.Order.SuccPred.Limit

Cited by

0 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderSuccOrder