>>14407449Relatively unrelated.
E.g. under a reading capturing knowledge of agents, where claims require evidence, you can lack LEM.
Say you get into a card accident and wake up in a hospital without windows.
* You have no evident that it's day outside.
* You have no evidence that it's night outside.
* You "don't know", which is your third truth value.
(But you can nontheless - without enforcing LEM - posit that it it being BOTH day and night outside is false, and then (assuming the 3 basic principles in
>>14407425 (You)) you can derive that this false joint proposition is indeed not the case. If it _is_ false, then assuming it would imply and absurdity.)