Theorems · Definition · group theory
Equiv.Perm.vectorsProdEqOne
(G : Type u_2) → [Group G] → (n : ℕ) → Set (List.Vector G n)
The type of vectors with terms from G, length n, and product equal to 1:G.
- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Type
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- Group
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.
- Setstatement · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Set.ofPredproof · cited by 6,101
- List.Vectorstatement and proof · cited by 270
- List.Vector.toListproof · cited by 79
Cited by13
Results whose statement or proof uses this declaration.
- exists_prime_orderOf_dvd_cardproof · cited by 5
- Equiv.Perm.VectorsProdEqOne.rotatestatement and proof · cited by 4
- Equiv.Perm.VectorsProdEqOne.vectorEquivstatement and proof · cited by 2
- Equiv.Perm.VectorsProdEqOne.cardstatement · cited by 1
- Equiv.Perm.VectorsProdEqOne.equivVectorstatement and proof · cited by 1
- Equiv.Perm.VectorsProdEqOne.rotate_lengthstatement and proof · cited by 1
- Equiv.Perm.VectorsProdEqOne.rotate_rotatestatement and proof · cited by 1
- Equiv.Perm.VectorsProdEqOne.rotate_zerostatement and proof · cited by 1
- Equiv.Perm.VectorsProdEqOne.mem_iffstatement · cited by 0
- Equiv.Perm.VectorsProdEqOne.one_eqstatement · cited by 0
- Equiv.Perm.VectorsProdEqOne.vectorEquiv_apply_coestatement · cited by 0
- Equiv.Perm.VectorsProdEqOne.vectorEquiv_symm_applystatement and proof · cited by 0