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Theorems · Theorem · group theory

AddMonoid.Coprod.hom_ext_iff

∀ {M : Type u_1} {N : Type u_2} {P : Type u_5} [inst : AddZeroClass M] [inst_1 : AddZeroClass N]
  [inst_2 : AddZeroClass P] {f g : AddMonoid.Coprod M N →+ P},
  f = g ↔
    f.comp AddMonoid.Coprod.inl = g.comp AddMonoid.Coprod.inl ∧
      f.comp AddMonoid.Coprod.inr = g.comp AddMonoid.Coprod.inr
Defined in
Mathlib.GroupTheory.Coprod.Basic
Cited by
0 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddZeroClassAddZeroClassAddZeroClass
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AddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddMonoidHom.comp · cited by 339AddMonoidHom.compAddMonoid.Coprod · cited by 104AddMonoid.CoprodAddMonoid.Coprod.inl · cited by 42Coprod.inlAddMonoid.Coprod.inr · cited by 42Coprod.inrAddMonoid.Coprod.hom_ext · cited by 12Coprod.hom_extCoprod.hom_ext_iffCITED BYCITES

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