Theorems · Theorem · group theory
Fin.sign_cycleIcc_of_le
∀ {n : ℕ} {i j : Fin n}, i ≤ j → Equiv.Perm.sign (i.cycleIcc j) = (-1) ^ (↑j - ↑i)- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- Equiv.Permstatement · cited by 1,375
- Equiv.Perm.signstatement and proof · cited by 138
- Fin.cycleRangeproof · cited by 35
- Function.Embedding.toEquivRangeproof · cited by 23
- Fin.cycleIccstatement · cited by 22
- Fin.natAdd_castLEEmbproof · cited by 11
- Fin.sub_val_lt_subproof · cited by 8
- Fin.cycleIcc_def_leproof · cited by 5
- Equiv.Perm.sign_extendDomainproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Fin.sign_cycleIcc_of_eqproof · cited by 1