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Theorems · Theorem · group theory

AddSubmonoid.mrange_snd

∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N],
  AddMonoidHom.mrange (AddMonoidHom.snd M N) = ⊤
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
1 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddZeroClassAddZeroClass
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Around this declaration

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

AddSubmonoid.prod_eq_top_iff · cited by 0AddSubmonoid.prod_eq_top_…Top.top · cited by 9680Top.topAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddMonoidHom.mrange · cited by 61AddMonoidHom.mrangeAddMonoidHom.snd · cited by 42AddMonoidHom.sndProd.snd_surjective · cited by 22Prod.snd_surjectiveAddMonoidHom.mrange_eq_top_of_surjective · cited by 6AddMonoidHom.mrange_eq_to…AddSubmonoid.mrange_sndCITED BYCITES

Cites8

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Cited by1

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