have hE : w.E = 1
n✝ n : ℕ
inst✝ : NeZero n
w : Weight n 1
hw : w 0 = 0
hmin : ∀ w' ≤ w, w ≤ w'
h₁ : w1 n ≤ w
h₂ : w ≤ w1 n
⊢ w = w1 n
case hE
n✝ n : ℕ
inst✝ : NeZero n
w : Weight n 1
hw : w 0 = 0
hmin : ∀ w' ≤ w, w ≤ w'
h₁ : w1 n ≤ w
h₂ : w ≤ w1 n
⊢ E w = 1

n✝ n : ℕ
inst✝ : NeZero n
w : Weight n 1
hw : w 0 = 0
hmin : ∀ w' ≤ w, w ≤ w'
h₁ : w1 n ≤ w
h₂ : w ≤ w1 n
hE : E w = 1
⊢ w = w1 n