Theorems · Theorem · group theory
FreeSemigroup.hom_ext
∀ {α : Type u} {β : Type v} [inst : Mul β] {f g : FreeSemigroup α →ₙ* β},
⇑f ∘ FreeSemigroup.of = ⇑g ∘ FreeSemigroup.of → f = g- Defined in
- Mathlib.Algebra.Free
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- map_mulproof · cited by 1,137
- MulHomstatement and proof · cited by 299
- DFunLike.extproof · cited by 240
- FreeSemigroupstatement and proof · cited by 43
- FreeSemigroup.ofstatement and proof · cited by 20
- FreeSemigroup.recOnMulproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- FreeSemigroup.lift_comp_of'proof · cited by 0
- FreeSemigroup.hom_ext_iffproof · cited by 0