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Theorems · Theorem · group theory

AddCommute.of_map

∀ {F : Type u_1} {M : Type u_2} {N : Type u_3} [inst : Add M] [inst_1 : Add N] {x y : M} [inst_2 : FunLike F M N]
  [AddHomClass F M N] {f : F}, Function.Injective ⇑f → AddCommute (f x) (f y) → AddCommute x y
Defined in
Mathlib.Algebra.Group.Commute.Hom
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
AddAddFunLikeAddHomClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

addCommute_map_iff · cited by 0addCommute_map_iffDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikemap_add · cited by 964map_addAddCommute · cited by 185AddCommuteAddHomClass · cited by 65AddHomClassAddCommute.eq · cited by 18AddCommute.eqAddCommute.of_mapCITED BYCITES

Cites6

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Cited by1

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