take
{{}}
; COMPOS_0:def 1 {[1,{},{}]} c= [:NAT,(NAT *),({{}} *):]
A3:
{{}} c= {{}} *
by FINSEQ_1:49, ZFMISC_1:31;
A4:
{{}} c= NAT *
by FINSEQ_1:49, ZFMISC_1:31;
{[1,{},{}]} = [:{1},{{}},{{}}:]
by MCART_1:35;
hence
{[1,{},{}]} c= [:NAT,(NAT *),({{}} *):]
by A3, A4, MCART_1:73; verum