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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]>
62 lines
1.8 KiB
Lean4
62 lines
1.8 KiB
Lean4
/-
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Authors: Antje Worring, Zach Kelling
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Flash Loan Safety
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Atomic borrow-use-repay within a single transaction.
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If repayment fails, entire transaction reverts.
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Properties:
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- Atomicity: borrow + use + repay in one tx
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- Solvency: pool balance ≥ pre-loan balance after tx
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- Fee accrual: flash loan fee goes to LPs
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- No residual debt: loan is fully repaid or fully reverted
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Author: Zach Kelling
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-/
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import Mathlib.Data.Nat.Defs
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import Mathlib.Tactic
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namespace DeFi.FlashLoan
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structure LoanState where
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poolBalance : Nat
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feeBps : Nat -- flash loan fee (e.g., 9 = 0.09%)
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structure FlashLoan where
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amount : Nat
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fee : Nat
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repaid : Bool
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def executeLoan (s : LoanState) (amount : Nat) (repaid : Bool) : LoanState :=
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if repaid && amount ≤ s.poolBalance then
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let fee := amount * s.feeBps / 10000
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{ s with poolBalance := s.poolBalance + fee } -- pool gains fee
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else s -- revert: no change
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/-- SOLVENCY: Pool never loses money on flash loans -/
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theorem flash_loan_solvent (s : LoanState) (amount : Nat) (repaid : Bool) :
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(executeLoan s amount repaid).poolBalance ≥ s.poolBalance := by
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unfold executeLoan
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split <;> simp
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/-- NO REPAY = NO LOAN: Unreturned loan reverts -/
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theorem no_repay_reverts (s : LoanState) (amount : Nat) :
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executeLoan s amount false = s := by
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simp [executeLoan]
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/-- FEE ACCRUAL: Successful loan increases pool by fee -/
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theorem fee_accrues (s : LoanState) (amount : Nat)
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(h : amount ≤ s.poolBalance) (_hf : s.feeBps > 0) :
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(executeLoan s amount true).poolBalance ≥ s.poolBalance := by
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simp [executeLoan, h]
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/-- OVERDRAFT BLOCKED: Can't borrow more than pool has -/
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theorem overdraft_blocked (s : LoanState) (amount : Nat)
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(h : amount > s.poolBalance) :
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executeLoan s amount true = s := by
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simp [executeLoan, Nat.not_le.mpr h]
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end DeFi.FlashLoan
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