let R be Relation; :: thesis: ( R is integer-functions-valued implies R is rational-functions-valued )
assume A2: rng R is integer-functions-membered ; :: according to VALUED_2:def 24 :: thesis: R is rational-functions-valued
let y be set ; :: according to VALUED_2:def 5,VALUED_2:def 23 :: thesis: ( y in rng R implies y is rational-valued Function )
thus ( y in rng R implies y is rational-valued Function ) by A2; :: thesis: verum