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Theorems · Theorem · group theory

negAddMonoidHom_comp_negAddMonoidHom

∀ {α : Type u_1} [inst : SubtractionCommMonoid α], negAddMonoidHom.comp negAddMonoidHom = AddMonoidHom.id α
Defined in
Mathlib.Algebra.Group.Hom.Basic
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
Assumes
SubtractionCommMonoid
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Around this declaration

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

IsAddIndecomposable.image_baseOf_neg_comp_eq · cited by 1IsAddIndecomposable.image…AddMonoidHom · cited by 3230AddMonoidHomneg_neg · cited by 960neg_negAddMonoidHom.comp · cited by 339AddMonoidHom.compAddMonoidHom.ext · cited by 149AddMonoidHom.extAddMonoidHom.id · cited by 107AddMonoidHom.idSubtractionCommMonoid · cited by 79SubtractionCommMonoidAddMonoidHom.id_apply · cited by 29AddMonoidHom.id_applynegAddMonoidHom · cited by 7negAddMonoidHomnegAddMonoidHom_comp_negAddMo…CITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.