Theorems · Theorem · order theory

OrderMonoidIso.trans_assoc

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} {δ : Type u_5} [inst : Preorder α] [inst_1 : Preorder β]
  [inst_2 : Preorder γ] [inst_3 : Preorder δ] [inst_4 : Mul α] [inst_5 : Mul β] [inst_6 : Mul γ] [inst_7 : Mul δ]
  (f : α ≃*o β) (g : β ≃*o γ) (h : γ ≃*o δ), (f.trans g).trans h = f.trans (g.trans h)

Defined in: Mathlib.Algebra.Order.Hom.Monoid
Cited by: 0 results in Mathlib
Foundations: Depth 22 from the axioms · uses propext, Quot.sound
Assumes: Preorder Preorder Preorder Preorder Mul Mul Mul Mul

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites3

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
OrderMonoidIsostatement and proof · cited by 114
OrderMonoidIso.transstatement · cited by 11

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.