ret_right — Mathlib

English

Repeated ret_right statement for LiftRelAux with destruct ca and Sum.inl b.

Русский

Повторная формулировка ret_right для LiftRelAux с destruct ca и Sum.inl b.

LaTeX

$$$\\mathrm{LiftRelAux}\\,R\\,C\\,(\\mathrm{destruct}\\ ca)(\\mathrm{Sum.inl}\\ b) \\Rightarrow \\exists a\\in ca\\, R\\ a\\ b$$$

Lean4

@[simp]
theorem ret_right (R : α → β → Prop) (C : Computation α → Computation β → Prop) (b ca) :
    LiftRelAux R C (destruct ca) (Sum.inl b) ↔ ∃ a, a ∈ ca ∧ R a b := by rw [← LiftRelAux.swap, LiftRelAux.ret_left]

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