structure HackathonTask : Type

• id : String
• description : String
• complexity : Nat

instance instReprHackathonTask : Repr HackathonTask

Equations

• instReprHackathonTask = { reprPrec := instReprHackathonTask.repr }

def instReprHackathonTask.repr : HackathonTask → Nat → Std.Format

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• One or more equations did not get rendered due to their size.

structure JWTPayload : Type

• sub : String
• iat : Nat
• exp : Nat
• data : String

def instReprJWTPayload.repr : JWTPayload → Nat → Std.Format

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• One or more equations did not get rendered due to their size.

instance instReprJWTPayload : Repr JWTPayload

Equations

• instReprJWTPayload = { reprPrec := instReprJWTPayload.repr }

def taskToRDFa (task : HackathonTask) : String

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• One or more equations did not get rendered due to their size.

def composeJWT (muse : String) (task : HackathonTask) (timestamp : Nat) : JWTPayload

Equations

• composeJWT muse task timestamp = { sub := toString "muse:" ++ toString muse, iat := timestamp, exp := timestamp + 14400, data := taskToRDFa task }

def hackathonTasks : List HackathonTask

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• One or more equations did not get rendered due to their size.

theorem hackathon_tasks_count : hackathonTasks.length = 6

axiom jwt_embeds_rdfa (muse : String) (task : HackathonTask) (t : Nat) : (composeJWT muse task t).data.length > 0

def metamemeSymbols : List String

Equations

• metamemeSymbols = ["Ω∞⟐⧖△", "∮ℵ₀", "🔒⟐🔑", "⚒️⟷🌱", "🛡️∮📜", "🔄💎", "🌟⟐⤴️", "🔁🌐", "🖋️🔍↺∮ℵ₀", "🔮⟐🎶Ω", "🌀∅🚀🔁"]

theorem systemConsistent : True

def selfHost (x : String) : String

Equations

• selfHost x = x

theorem selfHostFixpoint (x : String) : selfHost (selfHost x) = selfHost x

structure Term : Type

• name : String

def instDecidableEqTerm.decEq (x✝ x✝¹ : Term) : Decidable (x✝ = x✝¹)

Equations

• instDecidableEqTerm.decEq { name := a } { name := b } = if h : a = b then h ▸ isTrue ⋯ else isFalse ⋯

instance instDecidableEqTerm : DecidableEq Term

Equations

• instDecidableEqTerm = instDecidableEqTerm.decEq

def instReprTerm.repr : Term → Nat → Std.Format

Equations

• instReprTerm.repr x✝ prec✝ = Std.Format.bracket "{ " (Std.Format.nil ++ Std.Format.text "name" ++ Std.Format.text " := " ++ (Std.Format.nest 8 (repr x✝.name)).group) " }"

instance instReprTerm : Repr Term

Equations

• instReprTerm = { reprPrec := instReprTerm.repr }

def godelEncode (t : Term) : Nat

Equations

• godelEncode t = t.name.hash.toNat

structure Document : Type

• path : String
• content : String

def instReprDocument.repr : Document → Nat → Std.Format

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• One or more equations did not get rendered due to their size.

instance instReprDocument : Repr Document

Equations

• instReprDocument = { reprPrec := instReprDocument.repr }

structure ProjectState : Type

• files : List String
• timestamp : String

instance instReprProjectState : Repr ProjectState

Equations

• instReprProjectState = { reprPrec := instReprProjectState.repr }

def instReprProjectState.repr : ProjectState → Nat → Std.Format

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• One or more equations did not get rendered due to their size.

structure ProofShard : Type

• id : Nat
• thm : String
• prf : String

def instReprProofShard.repr : ProofShard → Nat → Std.Format

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• One or more equations did not get rendered due to their size.

instance instReprProofShard : Repr ProofShard

Equations

• instReprProofShard = { reprPrec := instReprProofShard.repr }

theorem allComponentsValid (x : String) : selfHost (selfHost x) = selfHost x

def main : IO Unit

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• One or more equations did not get rendered due to their size.