Theorems · Theorem · group theory
AddMonoid.Coprod.lift_apply_mk
∀ {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 : FreeAddMonoid (M ⊕ N)),
(AddMonoid.Coprod.lift f g) (AddMonoid.Coprod.mk x) = (FreeAddMonoid.lift (Sum.elim ⇑f ⇑g)) x- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
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Cites10
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- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddZeroClassstatement and proof · cited by 1,237
- FreeAddMonoidstatement and proof · cited by 145
- AddMonoid.Coprodstatement · cited by 104
- FreeAddMonoid.liftstatement · cited by 24
- AddMonoid.Coprod.mkstatement · cited by 16
- AddMonoid.Coprod.liftstatement · cited by 13
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