How to displine a 4yr old child with a behavior problem?

First of all, a four year old child cannot have mental or “Behavior problems, they are waaaayyyy to young! Punish him or bribe him like a normal child. If he hits his sibling/pulls the dogs/tries to shave the cat tail take away the tv or his toys, if he kicks and screams same thing. If he lies tell him nice try and send him to his room. Bribe him to clean up his toys and not tattle tale. If he writes on the walls or gets into the flour or hair gel make him clean up his mess. Fighting and being ultra defiant is merely the nature of a child. If he gets an allowance make him pay for broken toys or board games or give up one of his own if he doesn’t. If he gives his sibling or another kid ect a haircut then make him pay for it with quarters or toys. If he screams in the store or restrant, don’t let him play video games ect that afternoon. Send him to bed early. Ignore the screaming and pounding at the door, he really can’t do much damage to the door or wall unless he is like 5 foot 6 and 140 or so pounds. When he throws things to get his way just walk away. If he name calls say “sorry I don’t recognize that name” and just continue shopping, cooking, doing bills, getting ready, or helping an older child with homework. Never keep him away from stores, other children’s houses or places like daycare or preschool because of his behavior, as at this age ANY social interaction is critical to the person that he will become. And never hit a child as that will just scare him and he will grow up not telling you ANYTHING, be more sneaky than he is now, and it could backfire and make temper tantrums even worse. Most “severe” mental or behavior problems are just children being difficult children. Completely normal.