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Theorems · Definition · order theory

BoundedOrderHom.toBotHom

{α : Type u_2} →
  {β : Type u_3} →
    [inst : Preorder α] →
      [inst_1 : Preorder β] → [inst_2 : BoundedOrder α] → [inst_3 : BoundedOrder β] → BoundedOrderHom α β → BotHom α β

Reinterpret a BoundedOrderHom as a BotHom.

Defined in
Mathlib.Order.Hom.Bounded
Cited by
0 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
PreorderPreorderBoundedOrderBoundedOrder
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Around this declaration

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

BoundedOrderHom.comp · cited by 14BoundedOrderHom.compBoundedOrderHom.copy · cited by 2BoundedOrderHom.copyPreorder · cited by 7952PreorderBoundedOrder · cited by 270BoundedOrderBoundedOrderHom · cited by 54BoundedOrderHomOrderHom.toFun · cited by 45OrderHom.toFunBotHom · cited by 37BotHomBoundedOrderHom.toOrderHom · cited by 4BoundedOrderHom.toOrderHomBoundedOrderHom.map_bot' · cited by 0BoundedOrderHom.map_bot'BoundedOrderHom.toBotHomCITED BYCITES

Cites7

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

Cited by2

Results whose statement or proof uses this declaration.