Theorems · Theorem
Equiv.traverse_eq_map_id
∀ {t t' : Type u → Type u} (eqv : (α : Type u) → t α ≃ t' α) [inst : Traversable t] [LawfulTraversable t] {α β : Type u}
(f : α → β) (x : t' α), Equiv.traverse eqv (pure ∘ f) x = pure (Equiv.map eqv f x)- Defined in
- Mathlib.Control.Traversable.Equiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- TraversableLawfulTraversable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- Traversablestatement and proof · cited by 38
- LawfulTraversablestatement and proof · cited by 37
- Equiv.traversestatement · cited by 6
- Equiv.mapstatement and proof · cited by 5
- LawfulTraversable.traverse_eq_map_idproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.isLawfulTraversableproof · cited by 0
- Equiv.isLawfulTraversable'proof · cited by 0