Definition:Indeed

Definition
The adverb indeed is used in mathematics in the following manner.

Let $P$ be an assertion which is about to be proven in the next step of the exposition.

That next step is then frequently prefaced by the word indeed.

The philosophy is that:
 * $(1): \quad$ The assertion is presented as a true statement.


 * $(2): \quad$ The writer is sure of what has been stated, and will indeed back up this assertion with the logical argument which is immediately to follow.