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zooqueenandHanzo Dev
d3bff5e2dc
The lean/ proof library (88 files) had ~180 type-check errors across ~45 files plus 31 proof-by-assumption axiom cheats. It now type-checks cleanly under Lean 4.14.0 + Mathlib, with every theorem genuinely proven from definitions. Errors fixed: - Stale Mathlib imports: Data.Nat.Basic / Data.Int.Basic were removed this rev -> Data.Nat.Defs / Data.Int.Defs (57 files). - Shared AI/Agent/Governance/Contract/DeFi/Ecology draft files: same proof-rot as the zoo-labs sibling library (now reconciled): omega missing in-scope bounds, dead tactics after simp, simp over-reduction, doc-comment placement, reserved-word binders, deriving Repr on Finset-bearing structs, noncomputable defs over opaque primitives. - Consensus/Liveness: collapsed a 74-error cascade (undefined shared state model inlined from Safety.lean; the |>. pipe-projection vs comparison parse trap on 14 lines rewritten to explicit dot projection). - Crypto (BLS/FROST/Corona/Hybrid/threshold/FHE), Consensus, Protocol, Warp, Trust, GPU, Compute, Network, DeFi: brought structure invariants into scope for omega, Nat-division bounds via Nat.div_le_of_le_mul / Nat.div_mul_le_self, noncomputable over opaque crypto ops, deriving Inhabited for index access. Integrity: - Removed all 31 `theorem X := X_ax` cheats (axiom asserting the identical statement) and proved each from definitions; removed the UNSOUND content_addressed axiom (hash-injectivity over a struct with free fields). - Quorum-intersection theorems (BFT/Quasar/Flare/Warp/BLS/GPU/Bridge): the draft hypothesis 3f<n is insufficient (n unbounded above makes them false); tightened to the optimal-resilience invariant n=3f+1 / 2t>n. Statement intent preserved. - Net axiom change: -35 / +1 (the one addition, honesty_static, is a fixed-validator-set modeling assumption matching sibling files). - Remaining axioms are trusted-base only: opaque crypto primitives (groups, pairings, hardness, hashes, FHE encrypt/decrypt, BLS soundness, forward secrecy, Fisher-Yates uniformity) and protocol modeling assumptions. No sorry/admit/native_decide. Verified all theorems trace to [propext, Classical.choice, Quot.sound] plus those primitives. Co-authored-by: Hanzo Dev <[email protected]>
125 lines
4.2 KiB
Lean4
125 lines
4.2 KiB
Lean4
/-
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Authors: Antje Worring, Zach Kelling
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Treasury Management Properties
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The DAO treasury holds funds and distributes them via governance.
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All operations require proposal + quorum vote.
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Maps to:
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- zoo/zoo.vote: treasury management interface
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- zoo/contracts: on-chain treasury
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- zoo/ZIPs: governance proposals (ZIP-003 genesis)
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Properties:
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- Solvency: treasury balance ≥ 0 (no overdraft)
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- Authorization: all transfers require governance vote
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- Transparency: all operations are recorded
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- Budget: approved spending ≤ available balance
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-/
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import Mathlib.Data.Nat.Defs
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import Mathlib.Data.List.Basic
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import Mathlib.Tactic
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namespace Governance.Treasury
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/-- Treasury operation types -/
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inductive OpType where
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| deposit
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| grant (recipient : Nat) (amount : Nat)
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| investment (target : String) (amount : Nat)
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| burn (amount : Nat)
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deriving DecidableEq, Repr
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/-- Operation with governance approval -/
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structure TreasuryOp where
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opType : OpType
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proposalId : Nat
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approved : Bool -- passed quorum vote
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executed : Bool -- has been executed
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/-- Treasury state -/
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structure TreasuryState where
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balance : Nat
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totalDeposited : Nat
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totalGranted : Nat
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totalBurned : Nat
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operations : List TreasuryOp
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/-- Execute a treasury operation -/
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def execute (s : TreasuryState) (op : TreasuryOp) : TreasuryState :=
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if !op.approved then s -- unapproved ops are no-ops
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else match op.opType with
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| .deposit =>
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{ s with balance := s.balance + 0 } -- deposits handled separately
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| .grant _ amount =>
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if amount ≤ s.balance then
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{ s with balance := s.balance - amount
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, totalGranted := s.totalGranted + amount
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, operations := { op with executed := true } :: s.operations }
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else s
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| .investment _ amount =>
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if amount ≤ s.balance then
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{ s with balance := s.balance - amount
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, operations := { op with executed := true } :: s.operations }
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else s
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| .burn amount =>
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if amount ≤ s.balance then
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{ s with balance := s.balance - amount
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, totalBurned := s.totalBurned + amount
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, operations := { op with executed := true } :: s.operations }
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else s
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/-- Deposit funds -/
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def deposit (s : TreasuryState) (amount : Nat) : TreasuryState :=
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{ s with balance := s.balance + amount
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, totalDeposited := s.totalDeposited + amount }
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/-- SOLVENCY: balance never goes negative (Nat ensures this structurally) -/
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theorem solvency (s : TreasuryState) (op : TreasuryOp) :
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(execute s op).balance ≤ s.balance ∨ (execute s op).balance = s.balance := by
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left
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simp only [execute]
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split
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· rfl
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· split <;> first | rfl | (split <;> simp [Nat.sub_le])
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/-- AUTHORIZATION: unapproved ops don't change state -/
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theorem unapproved_noop (s : TreasuryState) (op : TreasuryOp)
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(h : op.approved = false) :
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execute s op = s := by
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simp [execute, h]
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/-- BUDGET: grants cannot exceed balance -/
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theorem grant_within_budget (s : TreasuryState) (op : TreasuryOp)
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(recipient amount : Nat)
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(h_type : op.opType = .grant recipient amount)
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(h_approved : op.approved = true) :
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(execute s op).balance ≤ s.balance := by
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simp only [execute, h_approved, h_type, Bool.not_true, Bool.false_eq_true, if_false]
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split <;> simp
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/-- DEPOSIT INCREASES BALANCE -/
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theorem deposit_increases (s : TreasuryState) (amount : Nat) :
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(deposit s amount).balance = s.balance + amount := by
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simp [deposit]
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/-- TRANSPARENCY: executed ops are recorded -/
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theorem executed_recorded (s : TreasuryState) (op : TreasuryOp)
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(h : op.approved = true)
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(recipient amount : Nat) (h_type : op.opType = .grant recipient amount)
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(h_funds : amount ≤ s.balance) :
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(execute s op).operations.length > s.operations.length := by
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simp [execute, h, h_type, h_funds, List.length_cons]
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/-- Empty treasury blocks all grants -/
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theorem empty_blocks_grants (op : TreasuryOp)
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(recipient amount : Nat) (h_type : op.opType = .grant recipient amount)
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(h_amount : amount > 0) (h_approved : op.approved = true) :
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execute ⟨0, 0, 0, 0, []⟩ op = ⟨0, 0, 0, 0, []⟩ := by
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simp only [execute, h_approved, h_type, Bool.not_true, Bool.false_eq_true, if_false]
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rw [if_neg (by omega)]
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end Governance.Treasury
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