Will the SIM card I am using in my AT&T Nokia 635 Go phone also work in an AT&T IPhone 4?

Will the SIM card I am using in my AT&T Nokia 635 Go phone also work in an AT&T IPhone 4?
Added (1). I am currently on a contract with AT&T; it is not the SIM card that came with the phone. I just purchased the Nokia as a temporary phone until getting another Iphone.

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