Theorems · Theorem · combinatorics
List.Vector.cons_head_tail
∀ {α : Type u_1} {n : ℕ} (v : List.Vector α n.succ), v.head ::ᵥ v.tail = vPrepending the head of a vector to its tail gives the vector.
- Defined in
- Mathlib.Data.Vector.Defs
- Cited by
- 7 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.
Cites4
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.headstatement and proof · cited by 39
- List.Vector.tailstatement and proof · cited by 37
Cited by7
Results whose statement or proof uses this declaration.
- List.Vector.eq_cons_iffproof · cited by 2
- List.Vector.toList_singletonproof · cited by 2
- List.Vector.scanl_headproof · cited by 1
- List.Vector.scanl_singletonproof · cited by 1
- Turing.ToPartrec.Code.exists_codeproof · cited by 0
- List.Vector.scanl_getproof · cited by 0
- Equiv.Perm.VectorsProdEqOne.one_eqproof · cited by 0