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Theorems · Theorem · group theory

AddSubmonoid.map_comap_le

∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] {F : Type u_4}
  [inst_2 : FunLike F M N] [mc : AddMonoidHomClass F M N] {S : AddSubmonoid N} {f : F},
  AddSubmonoid.map f (AddSubmonoid.comap f S) ≤ S
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
0 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
AddZeroClassAddZeroClassFunLikeAddMonoidHomClass
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Around this declaration

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FunLike · cited by 2560FunLikeAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddMonoidHomClass · cited by 252AddMonoidHomClassAddSubmonoid.map · cited by 99AddSubmonoid.mapAddSubmonoid.comap · cited by 62AddSubmonoid.comapGaloisConnection.l_u_le · cited by 36GaloisConnection.l_u_leAddSubmonoid.gc_map_comap · cited by 16AddSubmonoid.gc_map_comapAddSubmonoid.map_comap_leCITED BYCITES

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