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Theorems · Theorem · group theory

Equiv.Perm.toList_eq_nil_iff

∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {p : Equiv.Perm α} {x : α}, p.toList x = [] ↔ x ∉ p.support
Defined in
Mathlib.GroupTheory.Perm.Cycle.Concrete
Cited by
3 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeDecidableEq
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Around this declaration

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

Equiv.Perm.nodup_toList · cited by 5Perm.nodup_toListEquiv.Perm.formPerm_toList · cited by 1Perm.formPerm_toListEquiv.Perm.SameCycle.toList_isRotated · cited by 0SameCycle.toList_isRotatedDFunLike.coe · cited by 62936DFunLike.coeFinset · cited by 13712FinsetFintype · cited by 7736FintypeEquiv.Perm · cited by 1375Equiv.PermEquiv.Perm.support · cited by 230Perm.supportEquiv.Perm.toList · cited by 24Perm.toListPerm.toList_eq_nil_iffCITED BYCITES

Cites6

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Cited by3

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