Mathlib Map

Theorems · Theorem · category theory

CommGrpCat.uliftFunctor_map

∀ {x x_1 : CommGrpCat} (f : x ⟶ x_1),
  CommGrpCat.uliftFunctor.map f =
    CommGrpCat.ofHom (MulEquiv.ulift.symm.toMonoidHom.comp ((CommGrpCat.Hom.hom f).comp MulEquiv.ulift.toMonoidHom))
Defined in
Mathlib.Algebra.Category.Grp.Basic
Cited by
0 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.map · cited by 8698Functor.mapMulEquiv.symm · cited by 482MulEquiv.symmMonoidHom.comp · cited by 469MonoidHom.compMulEquiv.toMonoidHom · cited by 126MulEquiv.toMonoidHomCommGrpCat · cited by 74CommGrpCatCommGrpCat.carrier · cited by 59CommGrpCat.carrierCommGrpCat.of · cited by 28CommGrpCat.ofCommGrpCat.Hom.hom · cited by 26Hom.homCommGrpCat.ofHom · cited by 19CommGrpCat.ofHomMulEquiv.ulift · cited by 8MulEquiv.uliftCommGrpCat.uliftFunctor · cited by 2CommGrpCat.uliftFunctorCommGrpCat.uliftFunctor_mapCITED BYCITES

Cites12

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.