The Lean 4 kernel does not verify that the structure named in a projection expression matches the type of the value being projected, and environment::add_inductive in src/kernel/inductive.cpp did not type check the nested inductive applications that are replaced by auxiliary types, so their parametric arguments escaped checking. A metaprogram running in the Lean process can register an ill-typed nested inductive whose constructor applies a .proj C 0 projection to a value of the unrelated type W, and the kernel admits the declaration through the ordinary checked addDecl path at maximum kernel checking, without sorry, unsafeCast, debug.skipKernelTC, addDeclWithoutChecking, FFI, or a modified .olean file. The result is a type confusion yielding a proof of False that carries no axioms, from which any proposition can be derived. The published proof of concept additionally pads two expressions until their hashes and approximate depths collide, which defeats kernel caching; that is the technique used to reach the flaw, not its cause. Exploitation requires running a metaprogram in-process, for example by building a project or importing a malicious Lake dependency.
CVE-2026-72844
Score 6.3 from GitHub Security Advisory published 2026-08-20. A secondary CVSS source baseline 6.3; sources differ by 0.0.
- Lower severity and no public exploit yet
An upstream fix is merged but not yet released — mitigate (WAF / firewall / segmentation) until the release ships, then apply it.
- CVSS v3
- 6.3
- EG Score
- 6.3MEDIUMmedium confidence
- EG Risk
- 44EG Risk 44/100CISA SSVC
EG Risk is EchelonGraph's 0–100 priority score: it fuses intrinsic severity with real-world exploitation and automatability so you can rank equal-severity CVEs and fix the most dangerous first. Higher = act sooner. Distinct from the 0–10 EG Score (severity).
How it’s computedSeverity63% × 45%Exploitation40% × 40%Automatability0% × 15%CISA SSVC: Track at low or medium mission impact; Track* at high (mission-essential systems).Action: An upstream fix is merged but not yet in a tagged release. Restrict network exposure of the affected system or apply the vendor's mitigation within your standard update timelines until it ships, then apply the release. - EPSS PROB
- 0.2%
- EPSS %ILE
- 6th
- KEV
- Not listed
CISA SSVCTrack at low or medium mission impact; Track* at high (mission-essential systems).
An upstream fix is merged but not yet in a tagged release. Restrict network exposure of the affected system or apply the vendor's mitigation within your standard update timelines until it ships, then apply the release.
Exploitation public PoC (CISA Vulnrichment) · Automatable no (CISA Vulnrichment) · Technical impact partial (CISA Vulnrichment). Mission impact is CISA's Mission & Well-being decision point, and only you can judge it: high means the affected system is essential to your organisation's mission, or its compromise could cause irreversible harm to people. CISA's decision table
Published
August 20, 2026
Last Modified
September 24, 2026
Advisory Details (8)
Auto-updated Aug 20, 2026Lean 4 Kernel Type Checking Bypass via Mismatched Structure Projections | Advisories | VulnCheck
https://www.vulncheck.com/advisories/lean-4-kernel-type-checking-bypass-via-mismatched-structure-projectionsGitHub - leanprover/lean4: Lean 4 programming language and theorem prover · GitHub
https://github.com/leanprover/lean4oss-security - Lean 4 kernel soundness bug: forging proofs via nested inductive projections (0 = 1 demonstrated)
https://www.openwall.com/lists/oss-security/2026/08/02/1GitHub - xrchz/CollatzLean: Collatz conjecture in Lean · GitHub
https://github.com/xrchz/CollatzLeanGitHub - endrazine/lean-cve-poc: Example of proving "0 = 1" using a vulnerability in the Lean 4 kernel. · GitHub
https://github.com/endrazine/lean-cve-pocfix: missing check at kernel inductive declaration
Fix merged in leanprover/lean4 PR #14577 on 2026-07-28 — awaiting tagged release
https://github.com/leanprover/lean4/pull/14577commit a39eab69e1ee (leanprover/lean4)
Fix landed in leanprover/lean4 commit a39eab69e1ee — awaiting tagged release
https://github.com/leanprover/lean4/commit/a39eab69e1eee9ad38f4efe507907b1026a77808Kernel accepts wrong-structure projections, allowing an axiom-free proof of False · Issue #14576 · leanprover/lean4 · GitHub
https://github.com/leanprover/lean4/issues/14576Vendor Advisories for CVE-2026-72844(1)
These vendors published their own advisory mentioning this CVE — often with vendor-specific remediation steps + affected product lists not in NVD.
Weakness Classification(1)
MITRE Common Weakness Enumeration — the root-cause categories this CVE belongs to.
Data Freshness Timeline
(refreshed 17× in last 7d / 75× in last 30d)
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Showing the most recent 100 of 125 total refreshes for this CVE.
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Publicly available exploits
(1 reference)Working exploit code is in the public domain (1 GitHub PoC). Defenders should treat patch urgency accordingly — public PoCs typically lead to mass-exploitation within 24-72 hours.
- GitHub PoCendrazine/lean-cve-pocFirst seen Aug 2, 2026
CVE-2026-72844 : Example of proving "0 = 1" using a vulnerability in the Lean 4 kernel.
Open source ↗
Related CVEs(same CWE)
Frequently asked(5)
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What is the CVSS score of CVE-2026-72844?
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Dependency Blast Radius
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