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Theorems · Theorem · group theory

AddMonoidHom.noncommCoprod_inl_inr

∀ {M : Type u_4} {N : Type u_5} [inst : AddMonoid M] [inst_1 : AddMonoid N],
  (AddMonoidHom.inl M N).noncommCoprod (AddMonoidHom.inr M N) ⋯ = AddMonoidHom.id (M × N)
Defined in
Mathlib.GroupTheory.NoncommCoprod
Cited by
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Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
AddMonoidAddMonoid
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AddMonoidHom · cited by 3230AddMonoidHomAddMonoid · cited by 2864AddMonoidAddMonoidHom.id · cited by 107AddMonoidHom.idAddMonoidHom.inl · cited by 29AddMonoidHom.inlAddMonoidHom.inr · cited by 29AddMonoidHom.inrAddMonoidHom.noncommCoprod · cited by 7AddMonoidHom.noncommCoprodAddMonoidHom.addCommute_inl_inr · cited by 2AddMonoidHom.addCommute_i…AddMonoidHom.noncommCoprod_unique · cited by 1AddMonoidHom.noncommCopro…AddMonoidHom.noncommCoprod_in…CITED BYCITES

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