Theorems · Theorem · combinatorics
Prefunctor.symmetrifyStar
∀ {U : Type u_1} [inst : Quiver U] {V : Type u_2} [inst_1 : Quiver V] (φ : U ⥤q V) (u : U),
φ.symmetrify.star u =
⇑(Quiver.symmetrifyStar (φ.obj u)).symm ∘ Sum.map (φ.star u) (φ.costar u) ∘ ⇑(Quiver.symmetrifyStar u)- Defined in
- Mathlib.Combinatorics.Quiver.Covering
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- Prefunctor.objstatement and proof · cited by 1,241
- Prefunctor.mapproof · cited by 952
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- Quiver.Symmetrifystatement and proof · cited by 28
- Quiver.Starstatement and proof · cited by 22
- Quiver.Costarstatement · cited by 19
- Prefunctor.starstatement and proof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Prefunctor.IsCovering.symmetrifyproof · cited by 0