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Theorems · Definition · combinatorics

Quiver.Hom.opEquiv

{V : Type u_1} → [inst : Quiver V] → {X Y : V} → (X ⟶ Y) ≃ (Opposite.op Y ⟶ Opposite.op X)

The bijection (X ⟶ Y) ≃ (op Y ⟶ op X).

Defined in
Mathlib.Combinatorics.Quiver.Basic
Cited by
3 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
Quiver
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.ShiftedHom.opEquiv · cited by 9ShiftedHom.opEquivAlgebraicGeometry.isIso_pushoutSection_of_iSup_eq · cited by 2AlgebraicGeometry.isIso_p…Quiver.Hom.opEquiv_symm_apply · cited by 0Hom.opEquiv_symm_applyQuiver.Hom.opEquiv_apply · cited by 0Hom.opEquiv_applyQuiver.Hom · cited by 32603Quiver.HomEquiv · cited by 8337EquivOpposite · cited by 8081OppositeOpposite.unop · cited by 2231Opposite.unopQuiver · cited by 405QuiverHom.opEquivCITED 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.