 a,b:T. E(a;b)
a,b:T. E(a;b) 
 E(b;a)
 E(b;a)
 Thm*  R:(A*
R:(A*
 A*
A*
 Prop). 
 (EquivRel x,y:A*. x R y)
Prop). 
 (EquivRel x,y:A*. x R y) 
 (
 
 ( x,y,z:A*. (x R y)
x,y,z:A*. (x R y) 
 ((z @ x) R (z @ y)))
 ((z @ x) R (z @ y))) 
 (
 
 ( g:((x,y:A*//(x R y))
g:((x,y:A*//(x R y))

 ). Sym u,v:x,y:A*//(x R y). u Rg v)
 
 lquo_rel_symm
). Sym u,v:x,y:A*//(x R y). u Rg v)
 
 lquo_rel_symm
 Thm*  L:LangOver(A). Sym x,y:A*. x L-induced Equiv y    lang_rel_symm
L:LangOver(A). Sym x,y:A*. x L-induced Equiv y    lang_rel_symm
In prior sections: rel 1 relation autom