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The second point to proving Hamlet's sanity was in Act 3 Scene 2. Hamlet plans out what the performers are going to perform which was call the "Mousetrap." The mousetrap was a play that was performed in front of King Claudius and in this play it reenacts a scene, of an actor pouring poison into a sleeping actor's ear, which was how Claudius murdered Hamlet's father. Hamlet expects that if that ghost was telling the truth about how Hamlet's father died, then Claudius will react to the scene. This is important because it displays Hamlet's sanity and that he knows what's going on. While Hamlet was talking to Horatio he states it by saying in Act 1, Scene 2, line 69 "One scene of it comes near the circumstance, which I have told thee of my father's death. I prithee, when thou seest that that act afoot, even with the very comment of thy soul, Observe mine uncle." This displays his sanity because anyone who is able to plot this and be able to think that far in advance has to have control over his mind. With the quote being said you can tell he still has a concept of what emotions are and uses it to his advantage, which is something an insane person would be to foolish to comprehend. Later in that scene Hamlet does what he told Horatio and observes King Claudius while he is watching the play. The book then says while the play in being performed and one of the performers pours the poison into the player King's ear "Claudius stands up" line 248. This shows Hamlet is indeed sane because he knows exactly what is going on/ happening. In reaction he still covers up his sanity with being insane because he doesn't want the king to know that Hamlet is aware of who killed his father and how the king killed him. .
The third point to proving that hamlet was in fact sane was in the last act, act 5 scene 2 when Hamlet finds the document that was going to England. In this scene Claudius thinks Hamlet is too insane which is what Hamlet wants him to think.
