Theorems · Theorem · order theory
OrderEmbedding.strictMono
∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] (f : α ↪o β), StrictMono ⇑f- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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
- StrictMonostatement · cited by 706
- OrderEmbeddingstatement and proof · cited by 619
- OrderEmbedding.lt_iff_ltproof · cited by 23
Cited by26
Results whose statement or proof uses this declaration.
- OrderIso.strictMonoproof · cited by 26
- Ideal.map_eq_top_or_isMaximal_of_surjectiveproof · cited by 6
- Nat.nth_strictMonoOnproof · cited by 5
- InitialSeg.strictMonoproof · cited by 4
- FiniteArchimedeanClass.addSubgroup_strictAntiproof · cited by 2
- Cardinal.IsInaccessible.aleph_ordproof · cited by 2
- Finset.orderEmbOfFin_uniqueproof · cited by 2
- Finset.orderEmbOfFin_unique'proof · cited by 2
- Ordinal.preOmega_strictMonoproof · cited by 2
- Set.PartiallyWellOrderedOn.unionproof · cited by 2
- wellQuasiOrdered_iff_exists_monotone_subseqproof · cited by 2
- OrderEmbedding.isEmbedding_of_ordConnectedproof · cited by 1