Theorems · Theorem · group theory
AddMonoid.Coprod.comp_lift
∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] [inst_2 : AddMonoid P]
{P' : Type u_4} [inst_3 : AddMonoid P'] (f : P →+ P') (g₁ : M →+ P) (g₂ : N →+ P),
f.comp (AddMonoid.Coprod.lift g₁ g₂) = AddMonoid.Coprod.lift (f.comp g₁) (f.comp g₂)- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddZeroClassstatement and proof · cited by 1,237
- AddMonoidHom.compstatement and proof · cited by 339
- AddMonoid.Coprodstatement · cited by 104
- AddMonoid.Coprod.inlproof · cited by 42
- AddMonoid.Coprod.inrproof · cited by 42
- AddMonoid.Coprod.liftstatement and proof · cited by 13
- AddMonoid.Coprod.hom_extproof · cited by 12
- AddMonoidHom.comp_assocproof · cited by 5
- AddMonoid.Coprod.lift_comp_inlproof · cited by 1
- AddMonoid.Coprod.lift_comp_inrproof · cited by 1
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