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Jul 31, 2020 at 18:31 comment added Andrew Bacon Thank you! Yes, I was able to find the model of the intuitionistic version, which is partly what inspired the question.
Jul 31, 2020 at 18:26 vote accept Andrew Bacon
Jul 31, 2020 at 16:44 comment added Emil Jeřábek By the way, the situation for intuitionistic logic is quite different. For example, the intuitionistic version of the required property holds for the unique 5-element rooted submodel of the Rieger–Nishimura ladder, more or less because its underlying frame does not map p-morphically onto the unique 4-element rooted subframe of the RN ladder.
Jul 31, 2020 at 11:07 history edited Emil Jeřábek CC BY-SA 4.0
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Jul 31, 2020 at 10:08 history edited Emil Jeřábek CC BY-SA 4.0
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Jul 31, 2020 at 9:13 history answered Emil Jeřábek CC BY-SA 4.0