Theorems · Theorem · combinatorics
Quiver.Path.reverse.eq_def
∀ {V : Type u_2} [inst : Quiver V] [inst_1 : Quiver.HasReverse V] {a : V} (x : V) (x_1 : Quiver.Path a x),
x_1.reverse =
match x, x_1 with
| .(a), Quiver.Path.nil => Quiver.Path.nil
| x, p.cons e => (Quiver.reverse e).toPath.comp p.reverse- Defined in
- Mathlib.Combinatorics.Quiver.Symmetric
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- QuiverQuiver.HasReverse
Around this declaration
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Cites11
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
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.compstatement and proof · cited by 45
- Quiver.Hom.toPathstatement and proof · cited by 38
- Quiver.reversestatement and proof · cited by 23
- Quiver.HasReversestatement and proof · cited by 8
- Quiver.Path.reversestatement and proof · cited by 7
- Quiver.Path.brecOn.goproof · cited by 7
- Quiver.Path.belowproof · cited by 7
- Quiver.Path.brecOn.eqproof · cited by 6
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