Theorems · Theorem · order theory
le_map_sub_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 : Add β]
[inst_3 : LE β] [SubadditiveHomClass F α β] (f : F) (a b c : α), f (a - c) ≤ f (a - b) + f (b - c)- Defined in
- Mathlib.Algebra.Order.Hom.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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Cites6
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
- sub_add_sub_cancelproof · cited by 56
- SubadditiveHomClass.map_add_le_addproof · cited by 11
- SubadditiveHomClassstatement and proof · cited by 3
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