Theorems · Theorem · order theory

OrderMonoidHom.cancel_left

∀ {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] {g : β →*o γ} {f₁ f₂ : α →*o β},
  Function.Injective ⇑g → (g.comp f₁ = g.comp f₂ ↔ f₁ = f₂)

Defined in

Mathlib.Algebra.Order.Hom.Monoid

Cited by

0 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

PreorderPreorderPreorderMulOneClassMulOneClassMulOneClass