In the following, numbers represent claims. Diagram the argument.?

Question

1, 2, 3; therefore 4. 5, in view of 1. And 6, since 2. Therefore, 7. [Assume 4, 5, and 6 are independent.]

Answer 1

I don't know how to post a diagram here, but I can translate the ideas into plain English, in case that helps.

1,2,and 3 are premises, so for the sake of the argument we accept them as true upfront.

Taken together, 1,2, and 3 imply 4. Also, 1 implies 5 and 2 implies 6.

So, for example, if
1 = red + blue makes purple.
2 = blue + yellow makes green.
3 = purple + green makes mud.

Then some possibilities for 4, 5, 6, and 7 could be:

4 = red + blue + green makes mud.
5 = purple – red = blue
6 = green – yellow = blue

7 = blue is a component of both purple and green.

Notice that 3 turned out to be a superfluous premise for reaching 7 (we didn't need it to reach 7).