Theorems · Theorem · order theory

OrderRingHom.cancel_right

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : NonAssocSemiring α] [inst_1 : Preorder α]
  [inst_2 : NonAssocSemiring β] [inst_3 : Preorder β] [inst_4 : NonAssocSemiring γ] [inst_5 : Preorder γ]
  {f₁ f₂ : β →+*o γ} {g : α →+*o β}, Function.Surjective ⇑g → (f₁.comp g = f₂.comp g ↔ f₁ = f₂)

Defined in

Mathlib.Algebra.Order.Hom.Ring

Cited by

0 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

NonAssocSemiringPreorderNonAssocSemiringPreorderNonAssocSemiringPreorder