Theorems · Theorem · order theory
OrderIso.strictMono
∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] (e : α ≃o β), StrictMono ⇑e- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- OrderIsostatement and proof · cited by 874
- StrictMonostatement · cited by 706
- OrderEmbedding.strictMonoproof · cited by 26
- OrderIso.toOrderEmbeddingproof · cited by 22
Cited by26
Results whose statement or proof uses this declaration.
- Order.krullDim_eq_of_orderIsoproof · cited by 9
- Nat.nth_strictMonoproof · cited by 6
- Real.arctan_strictMonoproof · cited by 5
- Real.strictMonoOn_arcsinproof · cited by 4
- Real.arctan_inv_of_posproof · cited by 3
- Cardinal.IsInaccessible.preAleph_ordproof · cited by 3
- Tuple.eq_sort_iff'proof · cited by 1
- Cardinal.preAleph_le_of_strictMonoproof · cited by 1
- Order.height_orderIsoproof · cited by 1
- Real.arctan_add_arctan_lt_pi_div_twoproof · cited by 1
- LinearMap.isNoetherian_iff_of_bijectiveproof · cited by 1
- Order.enum_eq_iffproof · cited by 1