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Theorems · Theorem · group theory

AddMonoid.Coprod.lift_apply_inl

∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] [inst_2 : AddMonoid P]
  (f : M →+ P) (g : N →+ P) (x : M), (AddMonoid.Coprod.lift f g) (AddMonoid.Coprod.inl x) = f x
Defined in
Mathlib.GroupTheory.Coprod.Basic
Cited by
0 results in Mathlib
Foundations
Depth 48 from the axioms · uses propext, Quot.sound
Assumes
AddZeroClassAddZeroClassAddMonoid
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DFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomAddMonoid · cited by 2864AddMonoidAddZeroClass · cited by 1237AddZeroClassAddMonoid.Coprod · cited by 104AddMonoid.CoprodAddMonoid.Coprod.inl · cited by 42Coprod.inlAddMonoid.Coprod.lift · cited by 13Coprod.liftCoprod.lift_apply_inlCITED BYCITES

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