Theorems · Theorem · order theory
OrderMonoidHom.coe_comp_monoidHom
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : Preorder γ]
[inst_3 : MulOneClass α] [inst_4 : MulOneClass β] [inst_5 : MulOneClass γ] (f : β →*o γ) (g : α →*o β),
↑(f.comp g) = (↑f).comp ↑g- Defined in
- Mathlib.Algebra.Order.Hom.Monoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- MonoidHomstatement · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- MonoidHom.compstatement · cited by 469
- MonoidHomClass.toMonoidHomstatement · cited by 294
- OrderMonoidHomstatement and proof · cited by 67
- OrderMonoidHom.compstatement · cited by 20
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