exact hne (lec_antisymm hc <| (dom_iff_gec_of_balanced (trunc_zero hw) hb' hE'.symm).mp <|
            (trunc_dom w).trans <| hmin _  <| (dom_of_gec hE' hc).trans $ trunc_dom w)
case intro.intro.intro
n d : ℕ
inst✝ : NeZero d
w : Weight n d
hw : w 0 = 0
hmin : ∀ u ≤ w, w ≤ u
hb : ¬balanced w
hE' : E (Function.update (trunc w) 0 1) = E (trunc w)
hb' : balanced (Function.update (trunc w) 0 1)
hc : trunc w ≤ Function.update (trunc w) 0 1
hne : trunc w ≠ Function.update (trunc w) 0 1
⊢ False
no goals