Theorems · Theorem · combinatorics
Quiver.Path.reverse_comp
∀ {V : Type u_2} [inst : Quiver V] [inst_1 : Quiver.HasReverse V] {a b c : V} (p : Quiver.Path a b)
(q : Quiver.Path b c), (p.comp q).reverse = q.reverse.comp p.reverse- Defined in
- Mathlib.Combinatorics.Quiver.Symmetric
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- QuiverQuiver.HasReverse
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.compstatement and proof · cited by 45
- Quiver.Hom.toPathproof · cited by 38
- Quiver.reverseproof · cited by 23
- Quiver.HasReversestatement and proof · cited by 8
- Quiver.Path.reversestatement and proof · cited by 7
- Quiver.Path.comp_assocproof · cited by 3
- Quiver.Path.nil_compproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Quiver.Path.reverse_reverseproof · cited by 1
- Quiver.FreeGroupoid.congr_reverseproof · cited by 0