Theorems · Theorem · order theory
OrderEmbedding.monotone
∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] (f : α ↪o β), Monotone ⇑f- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- Monotonestatement · cited by 1,397
- OrderEmbeddingstatement and proof · cited by 619
- OrderHomClass.monotoneproof · cited by 5
Cited by27
Results whose statement or proof uses this declaration.
- ENat.toENNReal_monoproof · cited by 25
- OrderIso.monotoneproof · cited by 23
- OrderEmbedding.toOrderHomproof · cited by 16
- AugmentedSimplexCategory.inl'_evalproof · cited by 3
- AugmentedSimplexCategory.inr'_evalproof · cited by 3
- Cardinal.aleph_maxproof · cited by 2
- InitialSeg.monotoneproof · cited by 2
- WCovBy.imageproof · cited by 2
- Set.PartiallyWellOrderedOn.partiallyWellOrderedOn_sublistForall₂proof · cited by 2
- Module.End.maxUnifEigenspaceIndex_le_finrankproof · cited by 1
- Sion.DMCompletion.exists_isSaddlePointOnproof · cited by 1
- SSet.boundary_obj_eq_univproof · cited by 1