Theorems · Theorem · group theory
List.support_formPerm_of_nodup
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] (l : List α),
l.Nodup → (∀ (x : α), l ≠ [x]) → l.formPerm.support = l.toFinset- Defined in
- Mathlib.GroupTheory.Perm.List
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Set.ofPredproof · cited by 6,101
- Equiv.Perm.supportstatement and proof · cited by 230
- List.toFinsetstatement and proof · cited by 108
- List.formPermstatement and proof · cited by 54
- Finset.coe_injproof · cited by 41
- List.support_formPerm_of_nodup'proof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Equiv.Perm.exists_with_cycleType_iffproof · cited by 2
- Equiv.Perm.toList_formPerm_nontrivialproof · cited by 1
- Cycle.support_formPermproof · cited by 0
- List.cycleType_formPermproof · cited by 0