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Theorems · Definition · group theory

FreeAddSemigroup.of

{α : Type u} → α → FreeAddSemigroup α

The embedding α → FreeAddSemigroup α.

Defined in
Mathlib.Algebra.Free
Cited by
20 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
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Around this declaration

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

FreeAddSemigroup.lift · cited by 8FreeAddSemigroup.liftFreeAddMagma.toFreeAddSemigroup · cited by 5FreeAddMagma.toFreeAddSem…FreeAddSemigroup.map · cited by 5FreeAddSemigroup.mapFreeAddSemigroup.recOnAdd · cited by 3FreeAddSemigroup.recOnAddFreeAddSemigroup.hom_ext · cited by 2FreeAddSemigroup.hom_extFreeAddMonoid.equivWithZeroFreeAddSemigroup · cited by 2FreeAddMonoid.equivWithZe…FreeAddSemigroup.toFreeAddMonoid_mk_eq_cons · cited by 1FreeAddSemigroup.toFreeAd…FreeAddSemigroup.toFreeAddMonoid_ne_zero · cited by 1FreeAddSemigroup.toFreeAd…FreeAddSemigroup.lift_of · cited by 1FreeAddSemigroup.lift_ofFreeAddSemigroup.of_tail · cited by 0FreeAddSemigroup.of_tailFreeAddSemigroup.toFreeAddMonoid_of · cited by 0FreeAddSemigroup.toFreeAd…FreeAddSemigroup.add_seq · cited by 0FreeAddSemigroup.add_seqFreeAddMagma.toFreeAddSemigroup_comp_of · cited by 0FreeAddMagma.toFreeAddSem…FreeAddSemigroup.eq_zero_or_toFreeAddMonoid · cited by 0FreeAddSemigroup.eq_zero_…FreeAddMagma.toFreeAddSemigroup_of · cited by 0FreeAddMagma.toFreeAddSem…FreeAddSemigroup · cited by 43FreeAddSemigroupFreeAddSemigroup.ofCITED BYCITES

Cites1

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

Cited by25

Results whose statement or proof uses this declaration.