Theorems · Theorem · order theory

map_sub_le_add

∀ {F : Type u_2} {α : Type u_3} {β : Type u_4} [inst : FunLike F α β] [inst_1 : AddGroup α] [inst_2 : AddCommMonoid β]
  [inst_3 : PartialOrder β] [AddGroupSeminormClass F α β] (f : F) (x y : α), f (x - y) ≤ f x + f y

Defined in

Mathlib.Algebra.Order.Hom.Basic

Cited by

2 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext

Assumes

FunLikeAddGroupAddCommMonoidPartialOrderAddGroupSeminormClass