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Theorems · Theorem · order theory

SuccOrder.max_of_succ_le

∀ {α : Type u_3} {inst : Preorder α} [self : SuccOrder α] {a : α}, SuccOrder.succ a ≤ a → IsMax a

Proof of interaction between succ and maximal element

Defined in
Mathlib.Order.SuccPred.Basic
Cited by
1 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
SuccOrder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Order.max_of_succ_le · cited by 6Order.max_of_succ_lePreorder · cited by 7952PreorderSuccOrder · cited by 574SuccOrderIsMax · cited by 372IsMaxSuccOrder.succ · cited by 13SuccOrder.succSuccOrder.max_of_succ_leCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.