Mathlib Map

Theorems · Definition

Equiv.traverse

{t t' : Type u → Type u} →
  ((α : Type u) → t α ≃ t' α) →
    [Traversable t] → {m : Type u → Type u} → [Applicative m] → {α β : Type u} → (α → m β) → t' α → m (t' β)

Like Equiv.map, a function t' : Type u → Type u can be given the structure of a traversable functor using a traversable functor t' and equivalences t α ≃ t' α for all α. See Equiv.traversable.

Defined in
Mathlib.Control.Traversable.Equiv
Cited by
6 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
TraversableApplicative

Around this declaration

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

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.