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zeekayandHanzo Dev 3626b96b68 lean: prove the ten files that did not compile
Every library is a default target, so any one of these failing takes the
whole build down. What each was:

Compute/Billing.lean, Gateway/RateLimit.lean, CRDT/Anchor.lean — `simp [f]
at h` already turns the guard into a conjunction, so the `split at h` after
it had nothing left to split. Destructure the conjunction and state the
reduced goal for omega. In `rate_limited` the simp closed the goal, so the
line after it ran on none.

Compute/ConfidentialCompute.lean — `a == b = true` does not parse: `==` and
`=` are both precedence 50 and non-associative. State the propositional
equality, which is the stronger claim anyway.

Compute/PoAI.lean — `reward_bounded` was false as stated. qualityScore is
unbounded in the type, so `rate ≤ 1000` alone does not bound
computeUnits * rate * quality / 1000000 by computeUnits; quality = 10^9
breaks it. Added the range hypothesis on qualityScore that the 1000000
divisor normalizes against, and proved it. `canonical_root` was false of an
arbitrary AISupply — nothing stops a record from teleporting more than was
minted — so the bridge invariant it needs is now stated as `wellFormed`.
`low_quality_no_mining` closed at the simp.

Compute/Swarm.lean, KMS/Secrets.lean — trailing `omega` after a simp that
had already closed the goal. AccessPolicy also needed `deriving Repr`,
which SecretMeta's own Repr derivation requires of it.

CRDT/Privacy.lean — `seal ` is a Lean command token, so a structure field
named `seal` cannot parse. Backend fields take the names the Go interface
uses (encrypt / decrypt) and the envelope layer is wrap / unwrap.
`wrong_tag` needed the tag inequality in the direction the guard tests it,
and both message theorems needed mapM' so the goal did not unfold into
List.mapM.loop.

Gateway/Auth.lean — checkAuth calls the axiomatized verifyToken, so it has
no code to compile: noncomputable.

Platform/SBOM.lean — simp had already pushed the negation inward, leaving
push_neg nothing to do, and `List.all_cons` left a goal in ∀-form that the
Bool-form hypothesis does not close.

Three statements compiled while asserting nothing, and now carry a claim:
enclave_isolation and attestation_constant_size stated `True`, and
derived_key_isolation returned its own hypothesis. Isolation is now
non-interference over a host view — two attested tasks differing only in
enclave payload look identical from outside — and derived_key_isolation
derives the master's confinement from hsm_boundary, which until now no
theorem used.

lake build exits 0. vacuity.py: 0 vacuous declarations, down from 2, and no
theorem rests on sorryAx.

Co-authored-by: Hanzo Dev <[email protected]>
2026-07-29 11:47:14 -07:00

79 lines
2.8 KiB
Lean4

/-
On-Chain Anchor
The anchor precompile stores Merkle roots at (app, height).
Heights are monotonic — once height N is anchored, anything ≤ N
is rejected. This gives off-chain CRDT state a tamper-evident
durability backstop: if the root a user computes locally differs
from the root on-chain, the server's state diverged.
Maps to:
- lux/precompile/anchor/contract.go (Submit, Get, GetLatest)
- hanzo/base/crdt/anchor.go (Anchorer interface, RPCAnchorer)
-/
import Mathlib.Data.Nat.Defs
import Mathlib.Tactic
namespace CRDT.Anchor
abbrev App := Nat
abbrev Height := Nat
abbrev Root := Nat
/-- The on-chain store. `roots` maps (app, height) to the anchored
Merkle root; `latest` tracks the highest height per app. -/
structure Store where
roots : App → Height → Option Root
latest : App → Height
/-- Submit an anchor. Succeeds only when the new height exceeds the
current latest for that app. This is the monotonicity invariant
that prevents retroactive root substitution. -/
def submit (s : Store) (app : App) (h : Height) (root : Root) : Option Store :=
if h > s.latest app then
some {
roots := fun a ht => if a = app ∧ ht = h then some root else s.roots a ht,
latest := fun a => if a = app then h else s.latest a,
}
else none
def get (s : Store) (app : App) (h : Height) : Option Root := s.roots app h
/-- A successful submit advances the latest height. -/
theorem submit_bumps (s s' : Store) (app : App) (h : Height) (root : Root)
(ok : submit s app h root = some s') :
s'.latest app = h ∧ h > s.latest app := by
simp [submit] at ok
obtain ⟨hlt, rfl⟩ := ok
exact ⟨by simp, hlt⟩
/-- Heights at or below the current latest are rejected.
An attacker cannot rewrite an earlier root without a chain reorg. -/
theorem old_rejected (s : Store) (app : App) (h : Height) (root : Root)
(low : h ≤ s.latest app) :
submit s app h root = none := by
simp [submit, Nat.not_lt.mpr low]
/-- The root is retrievable immediately after submitting it.
This is the read-your-writes guarantee: a user who submits an
anchor can verify it was recorded in the same block. -/
theorem read_after_write (s s' : Store) (app : App) (h : Height) (root : Root)
(ok : submit s app h root = some s') :
get s' app h = some root := by
simp [submit] at ok
obtain ⟨-, rfl⟩ := ok
simp [get]
/-- Submitting for one app does not affect another app's anchors.
Each app's data is fully isolated even though they share a
precompile address. -/
theorem apps_isolated (s s' : Store) (a₁ a₂ : App) (h₁ h₂ : Height) (root : Root)
(ne : a₁ ≠ a₂) (ok : submit s a₁ h₁ root = some s') :
get s' a₂ h₂ = get s a₂ h₂ := by
simp [submit] at ok
obtain ⟨-, rfl⟩ := ok
simp [get, ne, Ne.symm ne]
end CRDT.Anchor