Theorems · Theorem · group theory
Fin.cycleIcc.trans
∀ {n : ℕ} {i j k : Fin n} [NeZero n], i ≤ j → j ≤ k → ⇑(i.cycleIcc j) ∘ ⇑(j.cycleIcc k) = ⇑(i.cycleIcc k)- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
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Cites12
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
- Equiv.Permstatement · cited by 1,375
- le_of_ltproof · cited by 1,175
- lt_of_lt_of_leproof · cited by 438
- lt_of_le_of_ltproof · cited by 432
- lt_or_geproof · cited by 182
- Fin.cycleIccstatement and proof · cited by 22
- Fin.cycleIcc_of_le_of_leproof · cited by 5
- Fin.cycleIcc_of_gtproof · cited by 3
- Fin.cycleIcc_of_ltproof · cited by 2
- Fin.cycleIcc_of_lastproof · cited by 1
- Fin.lt_add_one_of_succ_ltproof · cited by 1
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