simp only [removeAssignment, hb, addAssignment, ite_true]
case neg
assignment : Assignment
b : Bool
h : ¬hasAssignment b assignment = true
hb : ¬b = true
⊢ removeAssignment b (addAssignment b assignment) = assignment
case neg
assignment : Assignment
b : Bool
h : ¬hasAssignment b assignment = true
hb : ¬b = true
⊢ (if False then removePosAssignment else removeNegAssignment)
      ((if False then addPosAssignment else addNegAssignment) assignment) =
    assignment