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Theorems · Definition · order theory

BoundedOrderHom.toOrderHom

{α : Type u_6} →
  {β : Type u_7} →
    [inst : Preorder α] →
      [inst_1 : Preorder β] → [inst_2 : BoundedOrder α] → [inst_3 : BoundedOrder β] → BoundedOrderHom α β → α →o β
Defined in
Mathlib.Order.Hom.Bounded
Cited by
4 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
PreorderPreorderBoundedOrderBoundedOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

BoundedOrderHom.comp · cited by 14BoundedOrderHom.compBoundedOrderHom.dual · cited by 7BoundedOrderHom.dualBoundedOrderHom.copy · cited by 2BoundedOrderHom.copyBoundedOrderHom.toTopHom · cited by 0BoundedOrderHom.toTopHomBoundedOrderHom.dual_apply_toOrderHom · cited by 0BoundedOrderHom.dual_appl…BoundedOrderHom.dual_symm_apply_toOrderHom · cited by 0BoundedOrderHom.dual_symm…BoundedOrderHom.map_bot' · cited by 0BoundedOrderHom.map_bot'BoundedOrderHom.map_top' · cited by 0BoundedOrderHom.map_top'BoundedOrderHom.toBotHom · cited by 0BoundedOrderHom.toBotHomPreorder · cited by 7952PreorderOrderHom · cited by 934OrderHomBoundedOrder · cited by 270BoundedOrderBoundedOrderHom · cited by 54BoundedOrderHomBoundedOrderHom.toOrderHomCITED BYCITES

Cites4

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

Cited by9

Results whose statement or proof uses this declaration.