We now start piling the pieces on top of each other.
One more piece of notation: throughout the paper we write ...... for ......
The liftings on $A$ and $B$ agree on $A\cap B$, hence we can piece them together to obtain ......
Piecing the above observations together, we can now show that ......
Go to the list of words starting with: a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
y
z