Theorems · Theorem · group theory
List.cycleOf_formPerm
∀ {α : Type u_1} [inst : DecidableEq α] {l : List α},
l.Nodup → 2 ≤ l.length → ∀ (x : { x // x ∈ l }), l.attach.formPerm.cycleOf x = l.attach.formPerm- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Concrete
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.Permstatement · cited by 1,375
- Equiv.Perm.cycleOfstatement · cited by 59
- List.formPermstatement · cited by 54
- List.isCycle_formPermproof · cited by 6
- List.nodup_attachproof · cited by 5
- Equiv.Perm.IsCycle.cycleOf_eqproof · cited by 5
- List.formPerm_apply_mem_ne_self_iffproof · cited by 3
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