# I need to prove the following conclusion xyz((Indiff(x,y)StrongPref(z,x))StrongPref(z,y)) using some OR all of the following premises:…

I need to prove the following conclusion Ã¢Ë†â‚¬xÃ¢Ë†â‚¬yÃ¢Ë†â‚¬z((Indiff(x,y)Ã¢Ë†Â§StrongPref(z,x))Ã¢â€ â€™StrongPref(z,y)) using some OR all of the following premises:
P5: Ã¢Ë†â‚¬xÃ¢Ë†â‚¬y(StrongPref(x,y)Ã¢â€ â€™ Ã‚Â¬StrongPref(y,x))
P6: Ã¢Ë†â‚¬xÃ¢Ë†â‚¬yÃ¢Ë†â‚¬z((StrongPref(x,y)Ã¢Ë†Â§StrongPref(y,z))Ã¢â€ â€™StrongPref(x,z))
P7: Ã¢Ë†â‚¬xIndiff(x,x)
P8: Ã¢Ë†â‚¬xÃ¢Ë†â‚¬y(Indiff(x,y)Ã¢â€ â€™Indiff(y,x))
P9: Ã¢Ë†â‚¬xÃ¢Ë†â‚¬yÃ¢Ë†â‚¬z((StrongPref(x,y)Ã¢Ë†Â§Indiff(y,z))Ã¢â€ â€™StrongPref(x,z))
P10: Ã¢Ë†â‚¬xÃ¢Ë†â‚¬y(StrongPref(x,y)Ã¢Ë†Â¨Indiff(x,y)Ã¢Ë†Â¨StrongPref(y,x))
P11: Ã¢Ë†â‚¬xÃ¢Ë†â‚¬y(WeakPref(x,y)Ã¢â€ â€(StrongPref(x,y)Ã¢Ë†Â¨Indiff(x,y)))this has to be done using the FITCH program but i don’t know how to do this

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