refine ⟨by ring, fun m l p => ?_⟩
case intro
c : ℕ
H' : c = sumOfSquares (digits 10 (c * 11)) → c = 50 ∨ c = 73
H : ∀ m < c * 11, ProblemPredicate m → SolutionPredicate m
⊢ SearchUpTo (c + 1) (c * 11 + 11)
case intro
c : ℕ
H' : c = sumOfSquares (digits 10 (c * 11)) → c = 50 ∨ c = 73
H : ∀ m < c * 11, ProblemPredicate m → SolutionPredicate m
m : ℕ
l : m < c * 11 + 11
p : ProblemPredicate m
⊢ SolutionPredicate m