Theorems · Definition · group theory
Equiv.Perm.signAux3
{α : Type u} → [DecidableEq α] → [Finite α] → Equiv.Perm α → {s : Multiset α} → (∀ (x : α), x ∈ s) → ℤˣWhen the multiset s : Multiset α contains all nonfixed points of the permutation f : Perm α,
signAux2 f _ recursively calculates the sign of f.
- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement and proof · cited by 3,029
- Unitsstatement · cited by 2,804
- Multisetstatement and proof · cited by 2,627
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.signAux2proof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Equiv.Perm.signproof · cited by 138
- Equiv.Perm.signAux3_mul_and_swapstatement · cited by 1
- Equiv.Perm.signAux3_symm_trans_transstatement · cited by 1