Theorems · Theorem · group theory
List.formPerm_apply_head
∀ {α : Type u_1} [inst : DecidableEq α] (x y : α) (xs : List α), (x :: y :: xs).Nodup → (x :: y :: xs).formPerm x = y- Defined in
- Mathlib.GroupTheory.Perm.List
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Equiv.swapproof · cited by 197
- List.formPermstatement · cited by 54
- Equiv.swap_apply_leftproof · cited by 44
- List.formPerm_apply_of_notMemproof · cited by 7
- List.Nodup.notMemproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- List.formPerm_ext_iffproof · cited by 1
- List.formPerm_apply_getElem_zeroproof · cited by 1