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Theorems · Definition · order theory

OrderMonoidHom.toMonoidHom

{α : Type u_6} →
  {β : Type u_7} →
    [inst : Preorder α] →
      [inst_1 : Preorder β] → [inst_2 : MulOneClass α] → [inst_3 : MulOneClass 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
PreorderPreorderMulOneClassMulOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OrderMonoidHom.comp · cited by 20OrderMonoidHom.compOrderMonoidHom.toOrderHom · cited by 2OrderMonoidHom.toOrderHomOrderMonoidHom.copy · cited by 2OrderMonoidHom.copyMulArchimedean.of_locallyFiniteOrder · cited by 1MulArchimedean.of_locally…OrderMonoidHom.toFun_eq_coe · cited by 0OrderMonoidHom.toFun_eq_c…OrderMonoidHom.toMonoidHom_eq_coe · cited by 0OrderMonoidHom.toMonoidHo…OrderMonoidHom.toMonoidHom_injective · cited by 0OrderMonoidHom.toMonoidHo…OrderMonoidHom.monotone' · cited by 0OrderMonoidHom.monotone'Preorder · cited by 7952PreorderMonoidHom · cited by 3629MonoidHomMulOneClass · cited by 1018MulOneClassOrderMonoidHom · cited by 67OrderMonoidHomOrderMonoidHom.toMonoidHomCITED BYCITES

Cites4

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

Cited by8

Results whose statement or proof uses this declaration.