Theorems · Definition · group theory

Monoid.Coprod.liftEquiv

{M : Type u_1} →
  {N : Type u_2} →
    {P : Type u_3} →
      [inst : MulOneClass M] →
        [inst_1 : MulOneClass N] → [inst_2 : Monoid P] → (M →* P) × (N →* P) ≃ (Monoid.Coprod M N →* P)

Coprod.lift as an equivalence.

Defined in: Mathlib.GroupTheory.Coprod.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MulOneClass MulOneClass Monoid

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Equivstatement · cited by 8,337
Monoidstatement and proof · cited by 3,887
MonoidHomstatement and proof · cited by 3,629
MulOneClassstatement and proof · cited by 1,018
MonoidHom.compproof · cited by 469
Monoid.Coprodstatement and proof · cited by 109
Monoid.Coprod.inlproof · cited by 48
Monoid.Coprod.inrproof · cited by 47
Monoid.Coprod.liftproof · cited by 13

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