Theorems · Theorem · group theory
Fin.cycleRange_of_le
∀ {n : ℕ} {i j : Fin n} [inst : NeZero n], i ≤ j → j.cycleRange i = if i = j then 0 else i + 1- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.rangeproof · cited by 4,705
- Equiv.symmproof · cited by 3,681
- Equiv.Permstatement and proof · cited by 1,375
- Set.mem_range_selfproof · cited by 328
- Equiv.symm_apply_applyproof · cited by 320
- finRotateproof · cited by 36
- Fin.cycleRangestatement · cited by 35
- Fin.castLEEmbproof · cited by 34
- Function.Embedding.toEquivRangeproof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- Fin.cycleRange_of_ltproof · cited by 5
- Fin.cycleRange_of_eqproof · cited by 3
- Fin.coe_cycleRange_of_leproof · cited by 2