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Embedding a brouwerian lattice into a boolean lattice

I have already asked a similar question at

https://math.stackexchange.com/questions/470704/can-a-brouwerian-lattice-be-extended-into-a-boolean-algebra

but have received no answer. Sorry, I ask a similar question second time, as it is very important for my research.

Is it true that every brouwerian lattice (=locale =frame) can be order-embedded into a boolean lattice?

If yes, can we warrant that this embedding preserves joins and finite meets?

porton
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