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Theorems · Theorem · combinatorics

Quiver.Path.reverse_toPath

∀ {V : Type u_2} [inst : Quiver V] [inst_1 : Quiver.HasReverse V] {a b : V} (f : a ⟶ b),
  f.toPath.reverse = (Quiver.reverse f).toPath
Defined in
Mathlib.Combinatorics.Quiver.Symmetric
Cited by
1 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
QuiverQuiver.HasReverse
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quiver.Path.reverse_reverse · cited by 1Path.reverse_reverseQuiver.Hom · cited by 32603Quiver.HomQuiver · cited by 405QuiverQuiver.Path · cited by 166Quiver.PathQuiver.Hom.toPath · cited by 38Hom.toPathQuiver.reverse · cited by 23Quiver.reverseQuiver.HasReverse · cited by 8Quiver.HasReverseQuiver.Path.reverse · cited by 7Path.reversePath.reverse_toPathCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.