unsolvedIndCases.lean:3:11: error: unsolved goals case zero ⊢ 0 + Nat.zero = Nat.zero unsolvedIndCases.lean:4:11: error: unsolved goals case succ y : Nat ⊢ 0 + Nat.succ y = Nat.succ y unsolvedIndCases.lean:8:14: error: unsolved goals case zero ⊢ 0 + Nat.zero = Nat.zero unsolvedIndCases.lean:9:14: error: unsolved goals case succ y : Nat ih : 0 + y = y ⊢ 0 + Nat.succ y = Nat.succ y unsolvedIndCases.lean:14:11: error: unsolved goals case succ y : Nat ⊢ 0 + Nat.succ y = Nat.succ y unsolvedIndCases.lean:18:18: error: unsolved goals case ind x y : Nat h₁ : 0 < y ∧ y ≤ x ih : y > 0 → (x - y) % y < y h : y > 0 ⊢ x % y < y unsolvedIndCases.lean:19:18: error: unsolved goals case base x y : Nat h₁ : ¬(0 < y ∧ y ≤ x) h : y > 0 ⊢ x % y < y unsolvedIndCases.lean:23:18: error: unsolved goals case ind x y : Nat h : y > 0 h₁ : 0 < y ∧ y ≤ x ih : x = x - y → y = y → x % y < y ⊢ x % y < y unsolvedIndCases.lean:24:18: error: unsolved goals case base x y : Nat h : y > 0 h₁ : ¬(0 < y ∧ y ≤ x) ⊢ x % y < y