Theorems · Theorem · group theory
Fin.cycleIcc_of_le_of_le
∀ {n : ℕ} {i j k : Fin n}, i ≤ k → k ≤ j → ∀ [inst : NeZero n], (i.cycleIcc j) k = if k = j then i else k + 1- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 68 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.
Cites24
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.ofPredproof · cited by 6,101
- Set.rangeproof · cited by 4,705
- Equiv.symmproof · cited by 3,681
- zero_addproof · cited by 2,366
- Equiv.Permstatement · cited by 1,375
- le_transproof · cited by 985
- Set.mem_range_selfproof · cited by 328
- Equiv.toEmbeddingproof · cited by 254
- Function.Embedding.transproof · cited by 83
- finCongrproof · cited by 78
- finCongr_applyproof · cited by 47
Cited by5
Results whose statement or proof uses this declaration.
- Fin.cycleIcc_of_ge_of_ltproof · cited by 1
- Fin.cycleIcc_of_lastproof · cited by 1
- Fin.cycleIcc_eqproof · cited by 1
- Fin.cycleIcc.transproof · cited by 0
- Fin.cycleIcc_zero_eq_cycleRangeproof · cited by 0