Theorems · Definition · combinatorics
List.Vector.head
{α : Type u_1} → {n : ℕ} → List.Vector α n.succ → αThe first element of a vector with length at least 1.
- Defined in
- Mathlib.Data.Vector.Defs
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by42
Results whose statement or proof uses this declaration.
- List.Vector.head_consstatement and proof · cited by 25
- List.Vector.get_zerostatement and proof · cited by 10
- Nat.Primrec'.comp₂statement and proof · cited by 8
- Nat.Primrec'.headstatement and proof · cited by 8
- List.Vector.cons_head_tailstatement and proof · cited by 7
- Primrec.vector_headstatement and proof · cited by 6
- Nat.Primrec'.comp₁statement and proof · cited by 6
- List.Vector.exists_eq_consproof · cited by 5
- Nat.Primrec'.mulstatement and proof · cited by 4
- Nat.Primrec'.predstatement and proof · cited by 3
- Nat.Primrec'.of_primproof · cited by 3
- Nat.Primrec'.sqrtstatement and proof · cited by 3