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Theorems · Theorem · group theory

AddEquivClass.map_add

∀ {F : Type u_9} {A : outParam (Type u_10)} {B : outParam (Type u_11)} {inst : Add A} {inst_1 : Add B}
  {inst_2 : EquivLike F A B} [self : AddEquivClass F A B] (f : F) (a b : A), f (a + b) = f a + f b

Preserves addition.

Defined in
Mathlib.Algebra.Group.Equiv.Defs
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses Quot.sound
Assumes
AddEquivClass
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Around this declaration

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AddEquivClass.isDedekindFiniteAddMonoid_iff · cited by 0AddEquivClass.isDedekindF…DFunLike.coe · cited by 62936DFunLike.coeEquivLike · cited by 165EquivLikeAddEquivClass · cited by 22AddEquivClassAddEquivClass.map_addCITED BYCITES

Cites3

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Cited by1

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