Mathlib Map

Theorems · Theorem · order theory

SuccOrder.le_succ

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

Proof of basic ordering with respect to succ

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

Around this declaration

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

Order.le_succ · cited by 96Order.le_succPreorder · cited by 7952PreorderSuccOrder · cited by 574SuccOrderSuccOrder.succ · cited by 13SuccOrder.succSuccOrder.le_succCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.