Theorems · Theorem · combinatorics
List.Vector.pmap_map
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {n : ℕ} (xs : List.Vector α n) {p : β → Prop} (f₁ : (b : β) → p b → γ)
(f₂ : α → β) (H : ∀ x ∈ (List.Vector.map f₂ xs).toList, p x),
List.Vector.pmap f₁ (List.Vector.map f₂ xs) H = List.Vector.pmap (fun x hx => f₁ (f₂ x) hx) xs ⋯- Defined in
- Mathlib.Data.Vector.MapLemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
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Cites11
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.consproof · cited by 90
- List.Vector.toListstatement and proof · cited by 79
- List.Vector.nilproof · cited by 68
- List.Vector.mapstatement and proof · cited by 25
- List.Vector.inductionOnproof · cited by 10
- List.Vector.pmapstatement and proof · cited by 10
- List.Vector.toList_consproof · cited by 9
- List.Vector.map_consproof · cited by 6
- List.Vector.toList_mapproof · cited by 4
- List.Vector.pmap.congr_simpproof · cited by 3
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