Lean

as donto believed on

From Dontopedia, the open, paraconsistent wiki. (Last updated 2026-06-06.)

Lean has 30 facts recorded in Dontopedia across 12 references, with 2 live disagreements.

30 facts·27 predicates·12 sources·2 in dispute

Mostly:used for(2), compilation criteria(2), proves shapes derivations against(1)

Inbound mentions (14)

Other subjects in dontopedia point AT this entity as a value. These are inverse relationships — e.g. "X motherOf this subject" — and answer questions the forward facts can't. Grouped by predicate.

`referencesLean`References Lean(2)

Ajaxdavisex:ajaxdavis
Lisamegawattsex:lisamegawatts

`validatesWith`Validates With(2)

Commutator Fieldex:commutator-field
Commutator Simulation Codeex:commutator-simulation-code

`addedTechnologyToProject`Added Technology to Project(1)

Ajaxdavisex:ajaxdavis

`asksIfProofsUse`Asks If Proofs Use(1)

Ajaxdavisex:ajaxdavis

`hasPassenger`Has Passenger(1)

Tyrianex:tyrian

`irrefutableBy`Irrefutable by(1)

Algebraic Foundationex:algebraic-foundation

`isInspiredBy`Is Inspired by(1)

Github Cool Japan Oxileanex:github-cool-japan-oxilean

`isMachineVerified`Is Machine Verified(1)

Dimension Independenceex:dimension-independence

`statedCharacteristicOf`Stated Characteristic of(1)

Xenonfunex:xenonfun

`usedTechnology`Used Technology(1)

Genealogy Projectex:genealogy-project

`uses`Uses(1)

Proofsex:proofs

`wasVeryHardToBuild`Was Very Hard to Build(1)

Gauge Theoryex:gauge-theory

Other facts (29)

The long tail: predicates that appear too rarely to warrant their own section. Filter or scroll to find a specific one. Each row links to its source.

29 facts

Predicate	Value	Ref
Used for	Proving Shapes	[10]
Used for	Proving Derivations	[10]
Compilation Criteria	type-check	[12]
Compilation Criteria	does not compile	[12]
Proves Shapes Derivations Against	Context Scoped Views	[1]
Plays Role of	Shacl Shex	[1]
Certifies Rule Application	true	[2]
Certifies Shape Conformance	true	[2]
Certifies Transitive Closure Correctness	true	[2]
Certifies Structural Things Only	true	[2]
Cannot Certify Factual Claims	Turing Born 1912	[2]
References Lean Theorem Prover	Lean4	[2]
Deontic for Proofs	Tool Definitions	[3]
Typically Used in	science	[3]
Lacks Multi State	Pass Fail Skip	[4]
Commits to Formal Verification	Rust Simulation	[4]
Is Binary Checker	Pass Fail	[4]
Verifies	Dimension Independence	[5]
Is Formalization Tool	Project	[6]
Has First4k Lines	First 4k Lines of Lean	[7]
Used for Proofs	still?	[8]
Grown To20k Lines	Xenonfun Estimate	[8]
Applied to Genealogy	null	[9]
Plays Role	Shacl Shex Role	[10]
Validates Against	Context Scoped Views	[10]
Does Not Gatekeep	Ingestion	[10]
Rdf:type	Proof Assistant	[11]
Associated Domain	science	[11]
Has Characteristic	binary-compilation	[12]

Timeline axis is valid_time — when each source says the fact was true in the world, not when Dontopedia learned about it. Retracted rows are kept for provenance; coloured stripes indicate the context kind.

30 undated

—

provesShapesDerivationsAgainstblah/general/part-27

ex:context-scoped-views

—

playsRoleOfblah/general/part-27

ex:shacl-shex

—

certifiesRuleApplicationblah/papers/part-16

true

—

certifiesShapeConformanceblah/papers/part-16

true

—

certifiesTransitiveClosureCorrectnessblah/papers/part-16

true

—

certifiesStructuralThingsOnlyblah/papers/part-16

true

—

cannotCertifyFactualClaimsblah/papers/part-16

ex:turing-born-1912

—

referencesLeanTheoremProverblah/papers/part-16

ex:lean4

—

deonticForProofsblah/tpmjs/part-67

ex:tool-definitions

—

typicallyUsedInblah/tpmjs/part-67

science

—

lacksMultiStateblah/watt-activation/part-579

ex:pass-fail-skip

—

commitsToFormalVerificationblah/watt-activation/part-579

ex:rust-simulation

—

isBinaryCheckerblah/watt-activation/part-579

ex:pass-fail

—

verifiesblah/watt-activation/part-573

ex:dimension-independence

—

isFormalizationToolblah/watt-activation/part-574

ex:project

—

hasFirst4kLinesblah/watt-activation/part-584

ex:first-4k-lines-of-lean

—

usedForProofsblah/watt-activation/part-590

still?

—

grownTo20kLinesblah/watt-activation/part-590

ex:xenonfunEstimate

—

appliedToGenealogyblah/watt-activation/part-580

null

—

labelblah/general/135

Lean

—

playsRoleblah/general/135

ex:shacl-shex-role

—

usedForblah/general/135

ex:proving-shapes

—

usedForblah/general/135

ex:proving-derivations

—

validatesAgainstblah/general/135

ex:context-scoped-views

—

doesNotGatekeepblah/general/135

ex:ingestion

—

typeblah/tpmjs/67

ex:ProofAssistant

—

associatedDomainblah/tpmjs/67

science

—

hasCharacteristicblah/watt-activation/576

binary-compilation

—

compilationCriteriablah/watt-activation/576

type-check

—

compilationCriteriablah/watt-activation/576

does not compile

References (12)

12 references

[1]Part 272 facts
ctx:discord/blah/general/part-27
[2]Part 166 facts
ctx:discord/blah/papers/part-16
[3]Part 672 facts
ctx:discord/blah/tpmjs/part-67
[4]Part 5793 facts
ctx:discord/blah/watt-activation/part-579
[5]Part 5731 fact
ctx:discord/blah/watt-activation/part-573
[6]Part 5741 fact
ctx:discord/blah/watt-activation/part-574
[7]Part 5841 fact
ctx:discord/blah/watt-activation/part-584
[8]Part 5902 facts
ctx:discord/blah/watt-activation/part-590
[9]Part 5801 fact
ctx:discord/blah/watt-activation/part-580
[10]1356 facts
ctx:discord/blah/general/135
- full textgeneral-135
  text/plain3 KBdoc:agent/general-135/3d03c416-80e8-417d-a12d-bb2a4b3790ae
  Show excerpt
  [2026-04-17 09:52] ajaxdavis: ``` A PostgreSQL extension implementing a bitemporal, paraconsistent quad store with named graphs (contexts), an open-world predicate registry, a Lean-based shape and derivation certifier, and a composition…
[11]672 facts
ctx:discord/blah/tpmjs/67
- full texttpmjs-67
  text/plain2 KBdoc:agent/tpmjs-67/d6fe793a-4e48-4d72-a3fc-27bd26872d17
  Show excerpt
  [2026-03-08 18:04] omega [bot]: **Auto-fix merged** for production error ✅ **Error:** Error: DATABASE_URL is not defined in environment variables. Please configure your database connection. **Issue:** https://github.com/tpmjs/tpmjs/issues/…
[12]5763 facts
ctx:discord/blah/watt-activation/576
- full textwatt-activation-576
  text/plain3 KBdoc:agent/watt-activation-576/33bfdcdf-addf-4393-a22d-770fa671d7ce
  Show excerpt
  [2026-03-26 15:31] xenonfun: Plan: Extract Commutator.Science Simulation Stack Context The commutator/simulation code (bivector field dynamics, distributed orchestration, protocol) is currently entangled with harmonic-core's neural net…

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Lean

Inbound mentions (14)

referencesLeanReferences Lean(2)

validatesWithValidates With(2)

addedTechnologyToProjectAdded Technology to Project(1)

asksIfProofsUseAsks If Proofs Use(1)

hasPassengerHas Passenger(1)

irrefutableByIrrefutable by(1)

isInspiredByIs Inspired by(1)

isMachineVerifiedIs Machine Verified(1)

statedCharacteristicOfStated Characteristic of(1)

usedTechnologyUsed Technology(1)

usesUses(1)

wasVeryHardToBuildWas Very Hard to Build(1)

Other facts (29)

Timeline

References (12)

See also

Keep researching

`referencesLean`References Lean(2)

`validatesWith`Validates With(2)

`addedTechnologyToProject`Added Technology to Project(1)

`asksIfProofsUse`Asks If Proofs Use(1)

`hasPassenger`Has Passenger(1)

`irrefutableBy`Irrefutable by(1)

`isInspiredBy`Is Inspired by(1)

`isMachineVerified`Is Machine Verified(1)

`statedCharacteristicOf`Stated Characteristic of(1)

`usedTechnology`Used Technology(1)

`uses`Uses(1)

`wasVeryHardToBuild`Was Very Hard to Build(1)