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Theorems · Theorem · group theory

AddSubmonoid.comap_top

∀ {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] (f : F), AddSubmonoid.comap f ⊤ = ⊤
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
1 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddZeroClassAddZeroClassFunLikeAddMonoidHomClass
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Around this declaration

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

AddSubmonoid.top_prod_top · cited by 1AddSubmonoid.top_prod_topTop.top · cited by 9680Top.topFunLike · cited by 2560FunLikeAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddMonoidHomClass · cited by 252AddMonoidHomClassAddSubmonoid.comap · cited by 62AddSubmonoid.comapGaloisConnection.u_top · cited by 31GaloisConnection.u_topAddSubmonoid.gc_map_comap · cited by 16AddSubmonoid.gc_map_comapAddSubmonoid.comap_topCITED BYCITES

Cites8

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Cited by1

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