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Theorems · Definition · category theory

Quiver.SingleObj.toHom

{α : Type u_1} → α ≃ (Quiver.SingleObj.star α ⟶ Quiver.SingleObj.star α)

The type of arrows from star α to itself is equivalent to the original type α.

Defined in
Mathlib.Combinatorics.Quiver.SingleObj
Cited by
3 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
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Around this declaration

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

Quiver.SingleObj.toPrefunctor · cited by 7SingleObj.toPrefunctorQuiver.SingleObj.toHom_apply · cited by 0SingleObj.toHom_applyQuiver.SingleObj.toHom_symm_apply · cited by 0SingleObj.toHom_symm_applyQuiver.SingleObj.toPrefunctor_symm_apply · cited by 0SingleObj.toPrefunctor_sy…Quiver.Hom · cited by 32603Quiver.HomEquiv · cited by 8337EquivEquiv.refl · cited by 274Equiv.reflQuiver.SingleObj · cited by 26Quiver.SingleObjQuiver.SingleObj.star · cited by 17SingleObj.starSingleObj.toHomCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.