Theorems · Theorem · order theory

OrderAddMonoidHom.inl_add_inr_eq_mk

∀ (α : Type u_1) (β : Type u_2) [inst : AddMonoid α] [inst_1 : PartialOrder α] [inst_2 : AddMonoid β]
  [inst_3 : Preorder β] (m : α) (n : β), (OrderAddMonoidHom.inl α β) m + (OrderAddMonoidHom.inr α β) n = (m, n)

Defined in

Mathlib.Algebra.Order.Monoid.Lex

Cited by

0 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext

Assumes

AddMonoidPartialOrderAddMonoidPreorder