let x1, x2, x3, x4 be set ; :: thesis: [:{x1},{x2},{x3},{x4}:] = {[x1,x2,x3,x4]}
thus [:{x1},{x2},{x3},{x4}:] =
[:[:{x1},{x2}:],{x3},{x4}:]
by Th54
.=
[:{[x1,x2]},{x3},{x4}:]
by ZFMISC_1:35
.=
{[[x1,x2],x3,x4]}
by Th39
.=
{[x1,x2,x3,x4]}
; :: thesis: verum