Theorems · Theorem · combinatorics
List.Vector.toList_cons
∀ {α : Type u_1} {n : ℕ} (a : α) (v : List.Vector α n), (a ::ᵥ v).toList = a :: v.toListtoList of cons of a vector and an element is
the cons of the list obtained by toList and the element
- Defined in
- Mathlib.Data.Vector.Defs
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- List.Vector.consstatement and proof · cited by 90
- List.Vector.toListstatement and proof · cited by 79
Cited by9
Results whose statement or proof uses this declaration.
- Primrec.vector_consproof · cited by 3
- List.Vector.scanl_consproof · cited by 3
- List.Vector.toList_singletonproof · cited by 2
- List.Vector.mem_cons_iffproof · cited by 1
- List.Vector.scanl_headproof · cited by 1
- List.Vector.map_pmapproof · cited by 0
- List.Vector.pmap_mapproof · cited by 0
- List.Vector.scanl_getproof · cited by 0
- Fin.card_filter_univ_eq_vector_get_eq_countproof · cited by 0