Theorems · Theorem · order theory
OrderMonoidHom.mk_coe
∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : MulOneClass α]
[inst_3 : MulOneClass β] (f : α →*o β) (h : Monotone (↑↑f).toFun), { toMonoidHom := ↑f, monotone' := h } = f- Defined in
- Mathlib.Algebra.Order.Hom.Monoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- Monotonestatement and proof · cited by 1,397
- MulOneClassstatement and proof · cited by 1,018
- MonoidHomClass.toMonoidHomstatement and proof · cited by 294
- OneHom.toFunstatement and proof · cited by 132
- MonoidHom.toOneHomstatement and proof · cited by 132
- OrderMonoidHomstatement and proof · cited by 67
- OrderMonoidHom.extproof · cited by 8
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