map_think — Mathlib

English

Describing map with destruct: destruct (map f s) equals lmap f (rmap (map f) (destruct s)).

Русский

Деструктурирование map: destruct (map f s) = lmap f (rmap (map f) (destruct s)).

LaTeX

$$$$ \mathrm{destruct}(\mathrm{map} f\ s) = \mathrm{lmap} f\ (\mathrm{rmap}(\mathrm{map} f)\ (\mathrm{destruct}\ s)). $$$$

Lean4

@[simp]
theorem map_think (f : α → β) : ∀ s, map f (think s) = think (map f s)
  | ⟨s, al⟩ => by apply Subtype.eq; dsimp [think, map]; rw [Stream'.map_cons]

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