Theorems · Theorem · order theory
map_div_rev
∀ {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 (y / x)- Defined in
- Mathlib.Algebra.Order.Hom.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
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
- 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
- inv_divproof · cited by 92
- GroupSeminormClassstatement and proof · cited by 9
- GroupSeminormClass.map_inv_eq_mapproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- le_map_add_map_div'proof · cited by 1