Check complete dependent Pi/lambda/application/let terms and definitional conver...
https://detect.halowerk.com/v1/F-TD2000-DATASTRUCTURES-11/lean4-predicative-sort-pi-lambda-let-dependent-kernel-typing-conversionOverview
Check complete dependent Pi/lambda/application/let terms and definitional conversion in an explicitly bounded Lean-style universe core.
Protocol
x402 (POST)
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$0.0030
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eip155:8453
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crypto/defi
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detect
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bazaar
Indexed
2026-11-02 17:26:09
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unknown
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Uptime (30d)
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Never
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Input Schema
{
"body": {
"artifact": {
"dependentKernel": {
"claim": null,
"data": {
"expected_type": {
"codomain": {
"codomain": {
"index": 1,
"op": "bound"
},
"domain": {
"index": 0,
"op": "bound"
},
"op": "pi"
},
"domain": {
"level": 1,
"op": "sort"
},
"op": "pi"
},
"term": {
"body": {
"body": {
"index": 0,
"op": "bound"
},
"domain": {
"index": 0,
"op": "bound"
},
"op": "lambda"
},
"domain": {
"level": 1,
"op": "sort"
},
"op": "lambda"
}
}
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 1,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "lean4-predicative-sort-pi-lambda-let-dependent-kernel-typing-conversion_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Lean4.19 original kernel sort/Pi/lambda/application/let typing and definitional equality; predicative non-cumulative fragment."
],
"module": "lean4-predicative-sort-pi-lambda-let-dependent-kernel-typing-conversion",
"state": "observed",
"value": {
"claim_matches": false,
"computed": {
"expected_type_well_formed": true,
"has_expected_type": true,
"inferred_type": {
"codomain": {
"codomain": {
"index": 1,
"op": "bound"
},
"domain": {
"index": 0,
"op": "bound"
},
"op": "pi"
},
"domain": {
"level": 1,
"op": "sort"
},
"op": "pi"
},
"well_typed": true
}
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}