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Theorems · Theorem · order theory

Order.succ_mono

∀ {α : Type u_1} [inst : Preorder α] [inst_1 : SuccOrder α], Monotone Order.succ
Defined in
Mathlib.Order.SuccPred.Basic
Cited by
4 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PreorderSuccOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

toZ_strictMono · cited by 3toZ_strictMonoOrder.isMax_iterate_succ_of_eq_of_lt · cited by 2Order.isMax_iterate_succ_…Order.succ_max · cited by 1Order.succ_maxOrder.succ_min · cited by 1Order.succ_minPreorder · cited by 7952PreorderMonotone · cited by 1397MonotoneOrder.succ · cited by 633Order.succSuccOrder · cited by 574SuccOrderOrder.succ_le_succ · cited by 7Order.succ_le_succOrder.succ_monoCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.