Prove that a strictly decreasing function is always one-one.

In real analysis, a strictly decreasing function \( f: A \rightarrow B \) is one in which for any two elements \( x, y \) in the domain \( A \), if \( x < y \), then \( __________ ____ ____ _______ _____ ____ ______ ______ ____ _____ _________ _________.
____ ________ _______ ________ __________ _______ ________ __________ __________ ________ _______ ____.
________ _______ __________ _____ ___ __________ ________ __________ __________ __________ __________.
_________ _____ ______ ___ __________ _____ _____ _______.
_________ ___ ___ ____ ______.
__________ ___ _____ _______ ____ ___ ____ _______ _________ ________ __________ ____.
_______ ______ _____ _____ ______ ___ _______ __________.
________ ______ ________ _________ _______.
__________ _______ ________ ________ __________ ____ ___ ______ ____ _________.
_______ __________ _____ ________ _____ ________.
________ ___ _______ ___ ________ ____ ______ ____.
______ ____ _________ _____ _________ _________ ________.
_________ ___ ___ ________ ______ _________ __________ _________ _____ __________ ____.
__________ _________ _______.
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