Mathlib Map

Theorems · Definition · order theory

OrderMonoidWithZeroHom.toMonoidWithZeroHom

{α : Type u_6} →
  {β : Type u_7} →
    [inst : Preorder α] →
      [inst_1 : Preorder β] → [inst_2 : MulZeroOneClass α] → [inst_3 : MulZeroOneClass β] → (α →*₀o β) → α →*₀ β
Defined in
Mathlib.Algebra.Order.Hom.MonoidWithZero
Cited by
4 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
PreorderPreorderMulZeroOneClassMulZeroOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OrderMonoidWithZeroHom.toOrderMonoidHom · cited by 2OrderMonoidWithZeroHom.to…OrderMonoidWithZeroHom.copy · cited by 2OrderMonoidWithZeroHom.co…OrderMonoidWithZeroHom.monotone' · cited by 0OrderMonoidWithZeroHom.mo…OrderMonoidWithZeroHom.toFun_eq_coe · cited by 0OrderMonoidWithZeroHom.to…OrderMonoidWithZeroHom.toMonoidWithZeroHom_eq_ofClass · cited by 0OrderMonoidWithZeroHom.to…OrderMonoidWithZeroHom.toMonoidWithZeroHom_injective · cited by 0OrderMonoidWithZeroHom.to…Preorder · cited by 7952PreorderMonoidWithZeroHom · cited by 704MonoidWithZeroHomMulZeroOneClass · cited by 184MulZeroOneClassOrderMonoidWithZeroHom · cited by 48OrderMonoidWithZeroHomOrderMonoidWithZeroHom.toMono…CITED BYCITES

Cites4

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Cited by6

Results whose statement or proof uses this declaration.