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Theorems · Theorem · order theory

Order.pred_mono

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

Around this declaration

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

toZ_strictMono · cited by 3toZ_strictMonoOrder.pred_min · cited by 1Order.pred_minOrder.pred_max · cited by 1Order.pred_maxPreorder · cited by 7952PreorderMonotone · cited by 1397MonotonePredOrder · cited by 334PredOrderOrder.pred · cited by 273Order.predOrder.pred_le_pred · cited by 5Order.pred_le_predOrder.pred_monoCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.