Theorems · Theorem · category theory
Quiver.FreeGroupoid.congr_reverse
∀ {V : Type u} [inst : Quiver V] {X Y : CategoryTheory.Paths (Quiver.Symmetrify V)} (p q : X ⟶ Y),
CategoryTheory.HomRel.CompClosure Quiver.FreeGroupoid.redStep p q →
CategoryTheory.HomRel.CompClosure Quiver.FreeGroupoid.redStep (Quiver.Path.reverse p) (Quiver.Path.reverse q)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- Quiver
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Cites20
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
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Prefunctor.objproof · cited by 1,241
- Quiverstatement and proof · cited by 405
- CategoryTheory.Pathsstatement and proof · cited by 82
- Quiver.Path.compproof · cited by 45
- Quiver.Hom.toPathproof · cited by 38
- Quiver.Symmetrifystatement and proof · cited by 28
- Quiver.reverseproof · cited by 23
- CategoryTheory.Paths.ofproof · cited by 20
- CategoryTheory.HomRel.CompClosurestatement and proof · cited by 19
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