Theorems · Theorem · order theory
map_div_le_add
∀ {F : Type u_2} {α : Type u_3} {β : Type u_4} [inst : FunLike F α β] [inst_1 : Group α] [inst_2 : AddCommMonoid β]
[inst_3 : PartialOrder β] [GroupSeminormClass F α β] (f : F) (x y : α), f (x / y) ≤ f x + f y- Defined in
- Mathlib.Algebra.Order.Hom.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
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Cites9
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
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Groupstatement and proof · cited by 6,238
- FunLikestatement and proof · cited by 2,560
- div_eq_mul_invproof · cited by 715
- GroupSeminormClassstatement and proof · cited by 9
- MulLEAddHomClass.map_mul_le_addproof · cited by 5
- GroupSeminormClass.map_inv_eq_mapproof · cited by 3
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