Sindbad~EG File Manager

Length of proof is 10.  Level of proof is 5.
 
---------------- PROOF ----------------
 
107 [] -M(xa,xm,xb)|M(xb,xm,xa).
109 [] M(xa,xm,xa)|xm!=xa.
111 [] -M(xp,xa,xr)| -M(xp,xa,xq)|xr=xq.
166 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
174 [] M(xa,midpoint(xa,xb),xb).
213 [] xa=xb|Col(xa,xb,midpoint(xp,reflect(xa,xb,xp))).
221 [] xa=xb|reflect(xa,xb,xp)!=xp|Col(xa,xb,xp).
251 [] Col(xa,xb,xc)| -T(xc,xa,xb).
265 [] -M(xa,xm,xb)|T(xa,xm,xb).
287 [] xp=xq|Col(xp,xq,xa)|Col(xp,xq,xb)| -T(xa,xt,xb)| -Col(xp,xq,xt)|opposite(xa,xp,xq,xb).
305 [] a!=b.
306 [] reflect(a,b,p)=p1.
307 [] -Col(a,b,p).
308 [] -opposite(p,a,b,p1).
309 [] m=midpoint(p,p1).
310 [] midpoint(p,p1)=m.
392 [para_from,306.1.1,221.2.1,unit_del,305,307] p1!=p.
396 [para_from,306.1.1,213.2.3.2,demod,310,unit_del,305] Col(a,b,m).
435 [para_from,309.1.2,174.1.2] M(p,m,p1).
964 [binary,435.1,265.1] T(p,m,p1).
970 [binary,435.1,107.1] M(p1,m,p).
2027 [binary,964.1,251.2] Col(m,p1,p).
2051 [hyper,287,964,396,unit_del,305,307,308] Col(a,b,p1).
2160 [ur,111,970,392] -M(p1,m,p1).
3638 [hyper,166,396,2051,2027,unit_del,305,307] m=p1.
3748 [binary,3638.1,109.2] M(p1,m,p1).
3749 [binary,3748.1,2160.1] $F.