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Theorems · Definition · group theory

FreeAddSemigroup.map

{α : Type u} → {β : Type v} → (α → β) → FreeAddSemigroup α →ₙ+ FreeAddSemigroup β

The unique additive semigroup homomorphism that sends of x to of (f x).

Defined in
Mathlib.Algebra.Free
Cited by
5 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FreeAddMagma.toFreeAddSemigroup_comp_map · cited by 1FreeAddMagma.toFreeAddSem…FreeAddMagma.toFreeAddSemigroup_map · cited by 0FreeAddMagma.toFreeAddSem…FreeAddSemigroup.map_add' · cited by 0FreeAddSemigroup.map_add'FreeAddSemigroup.map_of · cited by 0FreeAddSemigroup.map_ofFreeAddSemigroup.length_map · cited by 0FreeAddSemigroup.length_m…DFunLike.coe · cited by 62936DFunLike.coeAddHom · cited by 294AddHomFreeAddSemigroup · cited by 43FreeAddSemigroupFreeAddSemigroup.of · cited by 20FreeAddSemigroup.ofFreeAddSemigroup.lift · cited by 8FreeAddSemigroup.liftFreeAddSemigroup.mapCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.