Theorems · Theorem · order theory
OrderMonoidIso.coe_trans_mulEquiv
∀ {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 : Mul α] [inst_4 : Mul β] [inst_5 : Mul γ] (f : α ≃*o β) (g : β ≃*o γ), ↑(f.trans g) = (↑f).trans ↑g- Defined in
- Mathlib.Algebra.Order.Hom.Monoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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Cites6
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
- MulEquivstatement · cited by 1,142
- OrderMonoidIsostatement and proof · cited by 114
- MulEquivClass.toMulEquivstatement · cited by 57
- MulEquiv.transstatement · cited by 53
- OrderMonoidIso.transstatement · cited by 11
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