{
  "prefix": {
    "pe": "https://proofengine.info/proofs/a-venture-capital-fund-investing-50-million-in-25-startups-at-equal-sizes/",
    "prov": "http://www.w3.org/ns/prov#",
    "xsd": "http://www.w3.org/2001/XMLSchema#",
    "schema": "http://schema.org/"
  },
  "entity": {
    "pe:claim": {
      "prov:type": "pe:Claim",
      "prov:label": "A venture capital fund investing $50 million in 25 startups at equal sizes requires at least one 50x return and two 10x returns to achieve a 3x gross multiple.",
      "prov:value": "A venture capital fund investing $50 million in 25 startups at equal sizes requires at least one 50x return and two 10x returns to achieve a 3x gross multiple."
    },
    "pe:evidence-A1": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Per-company investment: $50M / 25 companies = $2M each",
      "pe:factId": "A1",
      "pe:evidenceType": "computed",
      "pe:method": "fund_size_m / n_companies",
      "pe:result": "$2.0M"
    },
    "pe:evidence-A2": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Total return under claimed scenario: (1\u00d750 + 2\u00d710) \u00d7 $2M = $140M",
      "pe:factId": "A2",
      "pe:evidenceType": "computed",
      "pe:method": "(n_50x \u00d7 multiple_50x + n_10x \u00d7 multiple_10x) \u00d7 per_company_m",
      "pe:result": "$140.0M"
    },
    "pe:evidence-A3": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Gross multiple achieved: $140M / $50M = 2.8x",
      "pe:factId": "A3",
      "pe:evidenceType": "computed",
      "pe:method": "total_return_m / fund_size_m",
      "pe:result": "2.8000x"
    },
    "pe:evidence-A4": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Cross-check via direct portfolio sum: 1\u00d7$100M + 2\u00d7$20M + 22\u00d7$0M = $140M",
      "pe:factId": "A4",
      "pe:evidenceType": "computed",
      "pe:method": "sum([50x\u00d7$2M, 10x\u00d7$2M, 10x\u00d7$2M, 0x\u00d7$2M \u00d7 22])",
      "pe:result": "$140.0M \u2192 2.8000x"
    },
    "pe:evidence-A5": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Claim evaluation: gross_multiple == 3.0",
      "pe:factId": "A5",
      "pe:evidenceType": "computed",
      "pe:method": "compare(2.8000, '==', 3.0)",
      "pe:result": "False"
    },
    "pe:verdict": {
      "prov:type": "pe:Verdict",
      "prov:label": "Verdict: DISPROVED",
      "prov:value": "DISPROVED"
    }
  },
  "activity": {
    "pe:determine-verdict": {
      "prov:type": "pe:VerdictDetermination",
      "prov:label": "Determine verdict from evidence",
      "prov:endTime": "2026-04-08"
    }
  },
  "agent": {
    "pe:proof-engine": {
      "prov:type": "prov:SoftwareAgent",
      "prov:label": "Proof Engine",
      "schema:version": "1.10.0",
      "schema:url": "https://github.com/yaniv-golan/proof-engine"
    }
  },
  "wasGeneratedBy": {
    "pe:gen-verdict": {
      "prov:entity": "pe:verdict",
      "prov:activity": "pe:determine-verdict"
    }
  },
  "wasDerivedFrom": {},
  "wasAttributedTo": {
    "pe:attr-verdict": {
      "prov:entity": "pe:verdict",
      "prov:agent": "pe:proof-engine"
    }
  },
  "used": {
    "pe:used-A1": {
      "prov:activity": "pe:determine-verdict",
      "prov:entity": "pe:evidence-A1"
    },
    "pe:used-A2": {
      "prov:activity": "pe:determine-verdict",
      "prov:entity": "pe:evidence-A2"
    },
    "pe:used-A3": {
      "prov:activity": "pe:determine-verdict",
      "prov:entity": "pe:evidence-A3"
    },
    "pe:used-A4": {
      "prov:activity": "pe:determine-verdict",
      "prov:entity": "pe:evidence-A4"
    },
    "pe:used-A5": {
      "prov:activity": "pe:determine-verdict",
      "prov:entity": "pe:evidence-A5"
    }
  }
}