let S be IncSpace; :: thesis: for A, B, C being POINT of S holds {A,A,B,C} is planar
let A, B, C be POINT of S; :: thesis: {A,A,B,C} is planar
consider P being PLANE of S such that
A1:
{A,B,C} on P
by Def12;
take
P
; :: according to INCSP_1:def 7 :: thesis: {A,A,B,C} on P
thus
{A,A,B,C} on P
by A1, ENUMSET1:71; :: thesis: verum