Mathlib Map

Theorems · Definition · group theory

FreeMagmaAssocQuotientEquiv

(α : Type u) → Magma.AssocQuotient (FreeMagma α) ≃* FreeSemigroup α

Isomorphism between Magma.AssocQuotient (FreeMagma α) and FreeSemigroup α.

Defined in
Mathlib.Algebra.Free
Cited by
0 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DFunLike.coe · cited by 62936DFunLike.coeMulEquiv · cited by 1142MulEquivFreeMagma · cited by 44FreeMagmaFreeSemigroup · cited by 43FreeSemigroupFreeSemigroup.lift · cited by 8FreeSemigroup.liftMagma.AssocQuotient · cited by 8Magma.AssocQuotientMagma.AssocQuotient.of · cited by 8AssocQuotient.ofFreeMagma.toFreeSemigroup · cited by 5FreeMagma.toFreeSemigroupMagma.AssocQuotient.lift · cited by 4AssocQuotient.liftMulHom.toMulEquiv · cited by 2MulHom.toMulEquivFreeMagmaAssocQuotientEquivCITED BYCITES

Cites10

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.