Theorems · Definition · group theory
Equiv.Perm.signAux
{n : ℕ} → Equiv.Perm (Fin n) → ℤˣsignAux σ is the sign of a permutation on Fin n, defined as the parity of the number of
pairs (x₁, x₂) such that x₂ < x₁ but σ x₁ ≤ σ x₂
- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coeproof · cited by 62,936
- Unitsstatement · cited by 2,804
- Finset.prodproof · cited by 2,356
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.finPairsLTproof · cited by 9
Cited by8
Results whose statement or proof uses this declaration.
- Equiv.Perm.signAux_mulstatement and proof · cited by 3
- Equiv.Perm.sign_eq_prod_prod_Iioproof · cited by 2
- Equiv.Perm.signAux_eq_signAux2statement · cited by 2
- Equiv.Perm.signAux_swapstatement and proof · cited by 2
- Equiv.Perm.signAux3_mul_and_swapproof · cited by 1
- Equiv.Perm.signAux3_symm_trans_transproof · cited by 1
- Equiv.Perm.signAux_invstatement · cited by 1
- Equiv.Perm.signAux_onestatement · cited by 1