I am in the habit of taking logical primitives and examining the original language version of them. So, for "then" in "if...then", I am clear that it simply means to come next, i.e. it has the same meaning as "and".
- I went to school and went to the store and came home.
- I went to school then went to the store then came home.
So much for "then". What about the "if" in "if....then"?
I have been considering this as some kind of trigger setup, but more simply it is saying: "after this happens, then that happens". The "if" simply means "after".
The trigger mechanism is related to playing out the narrative.
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