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Theorems · Definition · category theory

Quiver.SingleObj.toPrefunctor

{α : Type u_1} → {β : Type u_2} → (α → β) ≃ Quiver.SingleObj α ⥤q Quiver.SingleObj β

Prefunctors between two SingleObj quivers correspond to functions between the corresponding arrows types.

Defined in
Mathlib.Combinatorics.Quiver.SingleObj
Cited by
7 results in Mathlib
Foundations
Depth 15 from the axioms · uses Quot.sound
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Around this declaration

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

Quiver.SingleObj.toPrefunctor_apply_map · cited by 0SingleObj.toPrefunctor_ap…Quiver.SingleObj.toPrefunctor_apply_obj · cited by 0SingleObj.toPrefunctor_ap…Quiver.SingleObj.toPrefunctor_comp · cited by 0SingleObj.toPrefunctor_co…Quiver.SingleObj.toPrefunctor_id · cited by 0SingleObj.toPrefunctor_idQuiver.SingleObj.toPrefunctor_symm_apply · cited by 0SingleObj.toPrefunctor_sy…Quiver.SingleObj.toPrefunctor_symm_comp · cited by 0SingleObj.toPrefunctor_sy…Quiver.SingleObj.toPrefunctor_symm_id · cited by 0SingleObj.toPrefunctor_sy…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivPrefunctor.map · cited by 952Prefunctor.mapPrefunctor · cited by 116PrefunctorQuiver.SingleObj · cited by 26Quiver.SingleObjQuiver.SingleObj.toHom · cited by 3SingleObj.toHomSingleObj.toPrefunctorCITED BYCITES

Cites6

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

Cited by7

Results whose statement or proof uses this declaration.