Theorems · Theorem · order theory
le_map_add_map_sub
∀ {F : Type u_2} {α : Type u_3} {β : Type u_4} [inst : FunLike F α β] [inst_1 : AddGroup α] [inst_2 : AddCommMagma β]
[inst_3 : LE β] [SubadditiveHomClass F α β] (f : F) (a b : α), f a ≤ f b + f (a - b)- Defined in
- Mathlib.Algebra.Order.Hom.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- FunLikestatement and proof · cited by 2,560
- add_commproof · cited by 1,535
- sub_add_cancelproof · cited by 344
- AddCommMagmastatement and proof · cited by 32
- SubadditiveHomClass.map_add_le_addproof · cited by 11
- SubadditiveHomClassstatement and proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- abs_sub_map_le_subproof · cited by 1