theorem
for
m,
n being
Nat for
X,
y,
z being
set for
S being
Language for
D1,
D2 being
RuleSet of
S st
D1 is
isotone &
D1 \/ D2 is
isotone &
y is
m,
X,
D1 -derivable &
z is
n,
{y},
D2 -derivable holds
z is
m + n,
X,
D1 \/ D2 -derivable by Lm22;