Mathlib Map

Theorems · Theorem

Traversable.map_eq_traverse_id

∀ {t : Type u → Type u} [inst : Traversable t] [LawfulTraversable t] {β γ : Type u} (f : β → γ),
  Functor.map f = Id.run ∘ traverse (pure ∘ f)
Defined in
Mathlib.Control.Traversable.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses Quot.sound
Assumes
TraversableLawfulTraversable
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Traversable.traverse_map · cited by 6Traversable.traverse_mapTraversable.map_traverse · cited by 1Traversable.map_traverseTraversable.traverse · cited by 53Traversable.traverseTraversable · cited by 38TraversableLawfulTraversable · cited by 37LawfulTraversableLawfulTraversable.traverse_eq_map_id · cited by 3LawfulTraversable.travers…Traversable.map_eq_traverse_idCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.