Theorems · Definition · combinatorics
Quiver.reverse
{V : Type u_4} → [inst : Quiver V] → [Quiver.HasReverse V] → {a b : V} → (a ⟶ b) → (b ⟶ a)Reverse the direction of an arrow.
- Defined in
- Mathlib.Combinatorics.Quiver.Symmetric
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- QuiverQuiver.HasReverse
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Quiverstatement and proof · cited by 405
- Quiver.HasReversestatement and proof · cited by 8
- Quiver.HasReverse.reverse'proof · cited by 0
Cited by34
Results whose statement or proof uses this declaration.
- Quiver.starEquivCostarproof · cited by 8
- Quiver.reverse_reversestatement · cited by 6
- Quiver.Symmetrify.liftproof · cited by 5
- Quiver.FreeGroupoid.lift_uniqueproof · cited by 3
- Quiver.Path.reverse_compproof · cited by 2
- Quiver.FreeGroupoid.congr_comp_reverseproof · cited by 1
- Quiver.HasInvolutiveReverse.inv'statement · cited by 1
- Prefunctor.costar_conj_starproof · cited by 1
- Quiver.FreeGroupoid.redStep.casesOnstatement and proof · cited by 1
- Quiver.Symmetrify.lift_uniquestatement and proof · cited by 1
- Quiver.Path.reverse_reverseproof · cited by 1
- Quiver.Path.reverse_toPathstatement · cited by 1