no goals
ι : Type u_1
M : Type ?u.8953
n : ℕ
I : Box ι
i✝ : ι
x✝ : ℝ
y : ι → ℝ
inst✝ : DecidableEq ι
i : ι
x : ℝ
h : x ∈ Ioo (lower I i) (upper I i)
h' : optParam (∀ (j : ι), lower I j < update I.upper i x j) (_ : ∀ (x_1 : ι), lower I x_1 < update I.upper i x x_1)
⊢ splitLower I i x = ↑{ lower := I.lower, upper := update I.upper i x, lower_lt_upper := h' }
simp only [splitLower, mk'_eq_coe, min_eq_left h.2.le, update]