Theorems · Theorem · order theory

OrderRingHom.comp_apply

∀ {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] (f : β →+*o γ)
  (g : α →+*o β) (a : α), (f.comp g) a = f (g a)

Defined in

Mathlib.Algebra.Order.Hom.Ring

Cited by

4 results in Mathlib

Foundations

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

Assumes

NonAssocSemiringPreorderNonAssocSemiringPreorderNonAssocSemiringPreorder