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Theorems · Theorem · combinatorics

Quiver.reverse_reverse

∀ {V : Type u_2} [inst : Quiver V] [h : Quiver.HasInvolutiveReverse V] {a b : V} (f : a ⟶ b),
  Quiver.reverse (Quiver.reverse f) = f
Defined in
Mathlib.Combinatorics.Quiver.Symmetric
Cited by
6 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
QuiverQuiver.HasInvolutiveReverse
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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.reverse_inj · cited by 1Quiver.reverse_injPrefunctor.costar_conj_star · cited by 1Prefunctor.costar_conj_st…Quiver.Symmetrify.lift_reverse · cited by 0Symmetrify.lift_reverseQuiver.FreeGroupoid.congr_reverse · cited by 0FreeGroupoid.congr_reverseQuiver.eq_reverse_iff · cited by 0Quiver.eq_reverse_iffQuiver.Hom · cited by 32603Quiver.HomQuiver · cited by 405QuiverQuiver.reverse · cited by 23Quiver.reverseQuiver.HasInvolutiveReverse · cited by 17Quiver.HasInvolutiveRever…Quiver.HasInvolutiveReverse.inv' · cited by 1HasInvolutiveReverse.inv'Quiver.reverse_reverseCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.