Theorems · Theorem · combinatorics
Prefunctor.map_reverse
∀ {U : Type u_1} {V : Type u_2} [inst : Quiver U] [inst_1 : Quiver V] [inst_2 : Quiver.HasReverse U]
[inst_3 : Quiver.HasReverse V] (φ : U ⥤q V) [φ.MapReverse] {u v : U} (e : u ⟶ v),
φ.map (Quiver.reverse e) = Quiver.reverse (φ.map e)- Defined in
- Mathlib.Combinatorics.Quiver.Symmetric
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Prefunctor.objstatement · cited by 1,241
- Prefunctor.mapstatement · cited by 952
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- Quiver.reversestatement · cited by 23
- Quiver.HasReversestatement and proof · cited by 8
- Prefunctor.MapReversestatement and proof · cited by 6
- Prefunctor.MapReverse.map_reverse'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Prefunctor.costar_conj_starproof · cited by 1