Theorems · Theorem · group theory
Equiv.Perm.sign_eq_prod_prod_Iio
∀ {n : ℕ} (σ : Equiv.Perm (Fin n)), Equiv.Perm.sign σ = ∏ j, ∏ i < j, if σ i < σ j then 1 else -1- Defined in
- Mathlib.GroupTheory.Perm.Fin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- MonoidHomstatement · cited by 3,629
- Finset.univstatement and proof · cited by 3,473
- Unitsstatement and proof · cited by 2,804
- Finset.prodstatement and proof · cited by 2,356
- Equiv.Permstatement and proof · cited by 1,375
- Finset.prod_congrproof · cited by 646
- Equiv.swapproof · cited by 197
- Finset.Iiostatement and proof · cited by 147
- Equiv.Perm.signstatement and proof · cited by 138
- Finset.sigmaproof · cited by 69
- Equiv.Perm.sign_mulproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.prod_Iio_comp_eq_sign_mul_prodproof · cited by 1
- Equiv.Perm.sign_eq_prod_prod_Ioiproof · cited by 1