Theorems · Theorem · group theory
Fin.sign_cycleRange
∀ {n : ℕ} (i : Fin n), Equiv.Perm.sign i.cycleRange = (-1) ^ ↑i- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- Equiv.Permstatement · cited by 1,375
- add_tsub_cancel_rightproof · cited by 172
- Equiv.Perm.signstatement · cited by 138
- finRotateproof · cited by 36
- Fin.cycleRangestatement · cited by 35
- Fin.castLEEmbproof · cited by 34
- Function.Embedding.toEquivRangeproof · cited by 23
- Equiv.Perm.sign_extendDomainproof · cited by 4
- sign_finRotateproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.det_succ_rowproof · cited by 6
- AlternatingMap.map_insertNthproof · cited by 3
- Matrix.det_succ_column_zeroproof · cited by 1
- Fin.sign_cycleIcc_of_leproof · cited by 1