let S be Subset of (TOP-REAL 2); :: thesis: (SpStSeq S) /. 5 = NW-corner S
set g = <*(NW-corner S),(NE-corner S),(SE-corner S)*>;
2 in {1,2} by TARSKI:def 2;
then A1: 2 in dom <*(SW-corner S),(NW-corner S)*> by FINSEQ_1:2, FINSEQ_1:89;
len <*(NW-corner S),(NE-corner S),(SE-corner S)*> = 3 by FINSEQ_1:45;
hence (SpStSeq S) /. 5 = (SpStSeq S) /. ((len <*(NW-corner S),(NE-corner S),(SE-corner S)*>) + 2)
.= <*(SW-corner S),(NW-corner S)*> /. 2 by A1, FINSEQ_4:69
.= NW-corner S by FINSEQ_4:17 ;
:: thesis: verum