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Lean4 Logic Formalization

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Rewrite modal logic based on #44 Depends - #44 - #46 - #50

`.๐Ÿ‘` is not Geach axiom and its definability is functional.

`๐“๐ซ๐ข๐ฏ`ใจ`๐•๐ž๐ซ`ใฏไปฅไธ‹ใฎๆ„ๅ‘ณใงๆฅตๅคงใชๆญฃ่ฆๆง˜็›ธ่ซ–็†ใงใ‚ใ‚‹๏ผŽ > [!NOTE] > ไปปๆ„ใฎ็„ก็Ÿ›็›พใชๆญฃ่ฆๆง˜็›ธ่ซ–็†`ฮ›`ใซๅฏพใ—๏ผŒ`ฮ› โ‰คแดธ ๐•๐ž๐ซ`ใพใŸใฏ`๐Š๐ƒ โ‰คแดธ ฮ› โ‰คแดธ ๐“๐ซ๐ข๐ฏ`ใฎใฉใกใ‚‰ใ‹ไธ€ๆ–นใ ใ‘ใŒๆˆ็ซ‹ใ™ใ‚‹๏ผŽ(Makinson, 1971) - [x] depends on: #39 - [ ] Classical Propositionalใฎๆ„ๅ‘ณ่ซ–ใ‚’็”จๆ„ใ™ใ‚‹๏ผˆๅ‘ฝ้กŒ่ซ–็†ใฎใƒˆใƒผใƒˆใƒญใ‚ธใƒผใ‹ใฉใ†ใ‹ใซๅธฐ็€ใ•ใ›ใ‚‹่จผๆ˜ŽใŒใ‚ใ‚‹ใŸใ‚๏ผ‰

close #36 - [ ] depends on: #39

`aesop`ใ‚’ไฝฟใฃใฆ็ฐกๅ˜ใช่‡ชๅ‹•ๅŒ–ใ‚’ๅ…ฅใ‚Œใฆใ„ใ‚‹ใŒ๏ผŒ้…ใ„ใ—ไธŠๆ‰‹ใ่กŒใ‹ใชใ„ใ“ใจใ‚‚ๅคšใไธไพฟ

่ฉณ็ดฐ: https://scrapbox.io/sno2wman/Boxdot%E7%89%B9%E6%80%A7 close #41

_Originally posted by @SnO2WMaN in https://github.com/iehality/lean4-logic/issues/34#issuecomment-2053638218_