Theorems · Definition · group theory
Fin.cycleRange
{n : ℕ} → Fin n → Equiv.Perm (Fin n)Fin.cycleRange i is the cycle (0 1 2 ... i) leaving (i+1 ... (n-1)) unchanged.
- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.Permstatement · cited by 1,375
- finRotateproof · cited by 36
- Equiv.Perm.extendDomainproof · cited by 34
- Fin.castLEEmbproof · cited by 34
- Function.Embedding.toEquivRangeproof · cited by 23
Cited by36
Results whose statement or proof uses this declaration.
- Fin.cycleIccproof · cited by 22
- Fin.cycleRange_of_gtstatement · cited by 6
- Matrix.det_succ_rowproof · cited by 6
- Fin.cycleIcc_def_lestatement and proof · cited by 5
- Fin.cycleIcc_of_le_of_leproof · cited by 5
- Fin.cycleRange_of_ltstatement · cited by 5
- Fin.cycleRange_selfstatement · cited by 4
- Fin.sign_cycleRangestatement · cited by 4
- Fin.cycleIcc_of_gtproof · cited by 3
- Fin.cycleRange_of_eqstatement · cited by 3
- Fin.cycleRange_of_lestatement · cited by 3
- Fin.cycleRange_symm_succstatement and proof · cited by 3