let x1, x2, x3, x4, x5, x6, x7 be set ; :: thesis: [:{x1},{x2},{x3},{x4},{x5},{x6},{x7}:] = {[x1,x2,x3,x4,x5,x6,x7]}
thus [:{x1},{x2},{x3},{x4},{x5},{x6},{x7}:] =
[:[:{x1},{x2}:],{x3},{x4},{x5},{x6},{x7}:]
by Th12
.=
[:{[x1,x2]},{x3},{x4},{x5},{x6},{x7}:]
by ZFMISC_1:35
.=
{[[x1,x2],x3,x4,x5,x6,x7]}
by Th23
.=
{[x1,x2,x3,x4,x5,x6,x7]}
by Th6
; :: thesis: verum