let c be Element of fixed_QC-variables ; :: thesis: for x being Element of bound_QC-variables holds c <> x
let x be Element of bound_QC-variables ; :: thesis: c <> x
consider x1, x2 being set such that
A1: x1 in {4} and
x2 in NAT and
A2: x = [x1,x2] by ZFMISC_1:def 2;
consider c1, c2 being set such that
A3: c1 in {5} and
c2 in NAT and
A4: c = [c1,c2] by ZFMISC_1:def 2;
A5: c1 = 5 by A3, TARSKI:def 1;
x1 = 4 by A1, TARSKI:def 1;
hence c <> x by A2, A4, A5, ZFMISC_1:27; :: thesis: verum