Theorems · Theorem · group theory
Monoid.Coprod.lift_comp_inl
∀ {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), (Monoid.Coprod.lift f g).comp Monoid.Coprod.inl = f- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClassMulOneClassMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- MonoidHom.compstatement · cited by 469
- Monoid.Coprodstatement · cited by 109
- Monoid.Coprod.inlstatement · cited by 48
- Monoid.Coprod.liftstatement · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Monoid.Coprod.comp_liftproof · cited by 0