Mathlib Map

Theorems · Definition · order theory

OrderAddMonoidHom.toAddMonoidHom

{α : Type u_6} →
  {β : Type u_7} →
    [inst : Preorder α] →
      [inst_1 : Preorder β] → [inst_2 : AddZeroClass α] → [inst_3 : AddZeroClass β] → (α →+o β) → α →+ β
Defined in
Mathlib.Algebra.Order.Hom.Monoid
Cited by
5 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
PreorderPreorderAddZeroClassAddZeroClass
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Around this declaration

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

OrderAddMonoidHom.comp · cited by 19OrderAddMonoidHom.compLocallyFiniteOrder.orderMonoidHom · cited by 4LocallyFiniteOrder.orderM…OrderAddMonoidHom.copy · cited by 2OrderAddMonoidHom.copyOrderAddMonoidHom.toOrderHom · cited by 2OrderAddMonoidHom.toOrder…LocallyFiniteOrder.orderAddMonoidEquiv · cited by 1LocallyFiniteOrder.orderA…OrderAddMonoidHom.monotone' · cited by 1OrderAddMonoidHom.monoton…LocallyFiniteOrder.orderAddMonoidHom_bijective · cited by 0LocallyFiniteOrder.orderA…OrderAddMonoidHom.toAddMonoidHom_eq_coe · cited by 0OrderAddMonoidHom.toAddMo…OrderAddMonoidHom.toAddMonoidHom_injective · cited by 0OrderAddMonoidHom.toAddMo…OrderAddMonoidHom.toFun_eq_coe · cited by 0OrderAddMonoidHom.toFun_e…Preorder · cited by 7952PreorderAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassOrderAddMonoidHom · cited by 80OrderAddMonoidHomOrderAddMonoidHom.toAddMonoid…CITED BYCITES

Cites4

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

Cited by10

Results whose statement or proof uses this declaration.