Theorems · Theorem · combinatorics
List.Vector.eq_cons_iff
∀ {α : Type u_1} {n : ℕ} (a : α) (v : List.Vector α n.succ) (v' : List.Vector α n),
v = a ::ᵥ v' ↔ v.head = a ∧ v.tail = v'- Defined in
- Mathlib.Data.Vector.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- List.Vectorstatement and proof · cited by 270
- transproof · cited by 111
- List.Vector.consstatement and proof · cited by 90
- List.Vector.headstatement and proof · cited by 39
- List.Vector.tailstatement and proof · cited by 37
- List.Vector.head_consproof · cited by 25
- List.Vector.tail_consproof · cited by 16
- List.Vector.cons_head_tailproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- List.Vector.exists_eq_consproof · cited by 5
- List.Vector.ne_cons_iffproof · cited by 0