have h : ∀ i, w 0 ≤ w i := fun _ ↦ hw bot_le
n d : ℕ
inst✝ : NeZero d
w : Weight n d
hw : Monotone w
⊢ ∃ k w', w = w' + k • 1 ∧ normalized w'
n d : ℕ
inst✝ : NeZero d
w : Weight n d
hw : Monotone w
h : ∀ (i : Fin (Nat.succ n)), w 0 ≤ w i
⊢ ∃ k w', w = w' + k • 1 ∧ normalized w'