Theorems · Theorem · group theory

Monoid.Coprod.lift_unique

∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : MulOneClass M] [inst_1 : MulOneClass N] [inst_2 : Monoid P]
  {f : M →* P} {g : N →* P} {fg : Monoid.Coprod M N →* P},
  fg.comp Monoid.Coprod.inl = f → fg.comp Monoid.Coprod.inr = g → fg = Monoid.Coprod.lift f g

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: MulOneClass MulOneClass Monoid

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Monoidstatement and proof · cited by 3,887
MonoidHomstatement and proof · cited by 3,629
MulOneClassstatement and proof · cited by 1,018
MonoidHom.compstatement and proof · cited by 469
Monoid.Coprodstatement and proof · cited by 109
Monoid.Coprod.inlstatement and proof · cited by 48
Monoid.Coprod.inrstatement and proof · cited by 47
Monoid.Coprod.hom_extproof · cited by 14
Monoid.Coprod.liftstatement · cited by 13

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