Difference between implies and turnstile symbols (→ and ⊢) So this would imply to me that → and ⊢ are equivalent, but it's idiomatic to use ⊢ for metamathematics, and → otherwise Or, more concretely: (A → B) → (C → D) is the same as (A → B) ⊢ (C → D), but the second option is considered more idiomatic readable as we differentiate the smaller connections from the larger ones
In Logic is ⇒, →, and ⊃ basically the same symbol? I need to create a few truth tables and I got confused by the logic symbols as some of the questions use either one or the other which is really confusing especially if they all mean the same thing
How to make a formal proof with A → (B ∨ C) ⊢ (A → B) ∨ (A → C) Here is what I've got so far: I feel like I need an indirect proof for this and so I need to prove a contradiction with one of line 4 or 5 I'm not sure how to approach it Any hints that can help