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Theorems · Theorem · group theory

MulEquivClass.map_mul

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

Preserves multiplication.

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

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MulEquivClass.isDedekindFiniteMonoid_iff · cited by 1MulEquivClass.isDedekindF…DFunLike.coe · cited by 62936DFunLike.coeEquivLike · cited by 165EquivLikeMulEquivClass · cited by 30MulEquivClassMulEquivClass.map_mulCITED BYCITES

Cites3

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Cited by1

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