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Theorems · Theorem · group theory

AddSubmonoid.map_coe_toAddEquiv

∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] {F : Type u_5}
  [inst_2 : EquivLike F M N] [inst_3 : AddEquivClass F M N] (f : F) (S : AddSubmonoid M),
  AddSubmonoid.map (↑f) S = AddSubmonoid.map f S
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
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Foundations
Depth 18 from the axioms · uses Quot.sound
Assumes
AddZeroClassAddZeroClassEquivLikeAddEquivClass
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AddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddEquiv · cited by 1087AddEquivEquivLike · cited by 165EquivLikeAddSubmonoid.map · cited by 99AddSubmonoid.mapAddEquivClass.toAddEquiv · cited by 54AddEquivClass.toAddEquivAddEquivClass · cited by 22AddEquivClassAddSubmonoid.map_coe_toAddEqu…CITED BYCITES

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