löb = □ (□ A → A) → □ A
□löb = □ (□ (□ A → A) → □ A)
□löb -> löb:
löb premises □ (□ A → A).
By internal necessitation, □ (□ (□ A → A)).
By □löb, □ (□ A).
By löb's premise, □ A.
When disambiguating as far as possible, löb becomes □(□B → A) → □A, but □löb becomes □(□(□B → A) → □B). Perhaps Ψ has a universal property related to this?
Similarly:
Noice :)
When disambiguating as far as possible, löb becomes □(□B → A) → □A, but □löb becomes □(□(□B → A) → □B). Perhaps Ψ has a universal property related to this?