cases' hq': M.δ ⟨q, x⟩ with q'
α qs : Type
M : DFA α qs
w : Word { x // x ∈ M.Z }
q : { x // x ∈ M.Q }
x : { x // x ∈ M.Z }
xs : List { x // x ∈ M.Z }
⊢ Option.isSome (del_star_curried M (x :: xs) q) = true ↔ Option.isSome (constrRun (x :: xs) q) = true
case none
α qs : Type
M : DFA α qs
w : Word { x // x ∈ M.Z }
q : { x // x ∈ M.Q }
x : { x // x ∈ M.Z }
xs : List { x // x ∈ M.Z }
hq' : M.δ (q, x) = none
⊢ Option.isSome (del_star_curried M (x :: xs) q) = true ↔ Option.isSome (constrRun (x :: xs) q) = true

case some
α qs : Type
M : DFA α qs
w : Word { x // x ∈ M.Z }
q : { x // x ∈ M.Q }
x : { x // x ∈ M.Z }
xs : List { x // x ∈ M.Z }
q' : { x // x ∈ M.Q }
hq' : M.δ (q, x) = some q'
⊢ Option.isSome (del_star_curried M (x :: xs) q) = true ↔ Option.isSome (constrRun (x :: xs) q) = true