You can find references to Correlating and Coordinating Conjunctions and Parallel Structure (Parallism) in many online references.
I found one specifically referencing your use of 'if' as defined below:
Definition of 'if'(as used here)
1 used to say that one thing can, will or might happen or be true, depending on another thing happening or being true (Oxford Advanced Learner's Dictionary)
2. Correlative conjunctions
Correlative conjunctions are used in pairs, in order to show the relationship between the ideas expressed in different parts of a sentence. For instance, in the following example, the expression either ... or is used to indicate that the ideas expressed in the two clauses represent two alternative choices of action.
e.g. Either you should study harder, or you should take a different course.
The most commonly used correlative conjunctions are both ... and, either ... or and neither ... nor. In the table below, each pair of correlative conjunctions is accompanied by an example of its use.
Note that in the construction if ... then, the word then can usually be omitted.
(emphasis added)
Correlative Conjunctions
if ... then If that is true, then what happened is not surprising.
both ... and He is both intelligent and good-natured.
either ... or I will either go for a walk or read a book.
neither ... nor He is neither rich nor famous.
hardly ... when He had hardly begun to work, when he was interrupted.
no sooner ... than No sooner had I reached the corner, than the bus came.
not only ... but also She is not only clever, but also hard-working.
rather ... than I would rather go swimming than go to the library.
scarcely ... when Scarcely had we left home, when it started to rain.
what with ... and What with all her aunts, uncles and cousins, she has many relatives.
whether ... or Have you decided whether you will come or not?