Theorems · Theorem · group theory
sign_finRotate
∀ (n : ℕ), Equiv.Perm.sign (finRotate n) = (-1) ^ (n - 1)
- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- one_mulproof · cited by 2,841
- Unitsstatement · cited by 2,804
- zero_addproof · cited by 2,366
- Equiv.Permstatement and proof · cited by 1,375
- pow_zeroproof · cited by 1,094
- neg_mulproof · cited by 654
- mul_negproof · cited by 590
- pow_succproof · cited by 374
- add_tsub_cancel_rightproof · cited by 172
Cited by2
Results whose statement or proof uses this declaration.
- Fin.sign_cycleRangeproof · cited by 4
- Equiv.Perm.finRotate_bit1_mem_alternatingGroupproof · cited by 1