let N be non empty with_non-empty_elements set ; :: thesis: for T being non empty stored-program IC-Ins-separated definite weakly_standard AMI-Struct of N holds T is InsLoc-antisymmetric
let T be non empty stored-program IC-Ins-separated definite weakly_standard AMI-Struct of N; :: thesis: T is InsLoc-antisymmetric
let l1, l2 be Element of NAT ; :: according to AMI_WSTD:def 9 :: thesis: ( l1 <= l2,T & l2 <= l1,T implies l1 = l2 )
assume A1: ( l1 <= l2,T & l2 <= l1,T ) ; :: thesis: l1 = l2
reconsider T = T as non empty stored-program IC-Ins-separated definite weakly_standard AMI-Struct of N ;
reconsider l1 = l1, l2 = l2 as Element of NAT ;
( locnum l1,T <= locnum l2,T & locnum l2,T <= locnum l1,T ) by A1, Th29;
hence l1 = l2 by Th27, XXREAL_0:1; :: thesis: verum