Definition of the interpratation functions 11.2 11.3
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Yes, you can. “Prove” refers to what proof calculi do, i.e. show that they’re valid, i.e. hold in all models - i.e. under all interpretation functions.
As it was rather tedious to do that exercise 1 year ago, I somehow like to see my work being useful.
At https://gl.kwarc.info/teaching/AI/blob/master/Marius/uebung11/marius_solution.pdf you can see my own solution, which should be correct.
It has way more details then the official solution and also has way more justifications, so you might want to see it…
(all those hours learning how to use LaTeX Busproofs, lplfitch, etc … :huh: )