Theorems · Definition · group theory
Equiv.Perm.VectorsProdEqOne.equivVector
(G : Type u_2) → [inst : Group G] → (n : ℕ) → ↑(Equiv.Perm.vectorsProdEqOne G n) ≃ List.Vector G (n - 1)
Given a vector v of length n whose product is 1, make a vector of length n - 1,
by deleting the last entry of v.
- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Type
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Equiv.symmproof · cited by 3,681
- Equiv.transproof · cited by 337
- List.Vectorstatement and proof · cited by 270
- Equiv.Perm.vectorsProdEqOnestatement and proof · cited by 10
- Equiv.ofUniqueproof · cited by 5
- Equiv.Perm.VectorsProdEqOne.vectorEquivproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.VectorsProdEqOne.cardproof · cited by 1