Theorems · Inductive type · combinatorics
Quiver.HasInvolutiveReverse
(V : Type u_2) → [Quiver V] → Type (max u_2 v)
A quiver HasInvolutiveReverse if reversing twice is the identity.
- Defined in
- Mathlib.Combinatorics.Quiver.Symmetric
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiverstatement · cited by 405
Cited by25
Results whose statement or proof uses this declaration.
- Quiver.starEquivCostarstatement and proof · cited by 8
- Quiver.reverse_reversestatement and proof · cited by 6
- Prefunctor.bijective_costar_iff_bijective_starstatement and proof · cited by 2
- Quiver.HasInvolutiveReverse.inv'statement and proof · cited by 1
- Prefunctor.costar_conj_starstatement and proof · cited by 1
- Quiver.Path.reverse_reversestatement and proof · cited by 1
- Quiver.reverse_injstatement and proof · cited by 1
- Quiver.SingleObj.hasInvolutiveReversestatement · cited by 0
- Quiver.HasInvolutiveReverse.casesOnstatement and proof · cited by 0
- Quiver.HasInvolutiveReverse.ctorIdxstatement and proof · cited by 0
- Quiver.HasInvolutiveReverse.noConfusionstatement and proof · cited by 0
- Quiver.eq_reverse_iffstatement and proof · cited by 0