This question is for the people who know what consequence relations are. Just to clarify, a consequence relation C on L is a relation from the powerset of L, to L, that satisfies certain properties. We can define the associated implication relation on L to L as a I b iff C({a},b). A general implication on L can be defined as the implication relation for some consequence relation on L. Every implication relation is a preorder. Are all preorders on L implication relations, for all L?
2026-03-29 13:20:24.1774790424
Are all preorders implication relations?
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