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Theorems · Theorem · group theory

List.formPerm_pow_apply_head

∀ {α : Type u_1} [inst : DecidableEq α] (x : α) (l : List α),
  (x :: l).Nodup → ∀ (n : ℕ), ((x :: l).formPerm ^ n) x = (x :: l)[n % (x :: l).length]
Defined in
Mathlib.GroupTheory.Perm.List
Cited by
1 results in Mathlib
Foundations
Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

List.isCycle_formPerm · cited by 6List.isCycle_formPermDFunLike.coe · cited by 62936DFunLike.coezero_add · cited by 2366zero_addEquiv.Perm · cited by 1375Equiv.PermLE.le.trans_lt · cited by 795le.trans_ltDFunLike · cited by 576DFunLikeList.formPerm · cited by 54List.formPermList.formPerm_pow_apply_getElem · cited by 4List.formPerm_pow_apply_g…List.formPerm_pow_apply_headCITED BYCITES

Cites7

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Cited by1

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