substitution.sim-depends-on-induced-choice.record
leaf/record · drafted
Statement
The declaration Workspace.Deference.Contrib.SubstitutionSeparation.sim_depends_only_on_inducedChoice is accepted by the Lean kernel in the repository's Lean library.
Source
projects/deference/CLAIMS.md, entry substitution.sim-depends-on-induced-choice (class lean-proved, status active, origin round 2026-08-11-phase-ii-promotion; answers item 23). Documentation: verification: prompts/2026-08-11-phase-ii-promotion/REPORT.md; context: prompts/2026-08-11-deference-channel/REPORT.md. The signature of Workspace.Deference.Contrib.SubstitutionSeparation.sim_depends_only_on_inducedChoice (theorem) in lean/Workspace/Deference/Contrib/SubstitutionSeparation.lean, verbatim, binders included (ruling F1, 2026-10-23: the hypotheses are unread, and this text is what a reader files them from):
(choice : (P → ℚ) → P) (vh₁ vh₂ X : Ω → P → ℚ) (h : inducedSelection choice vh₁ = inducedSelection choice vh₂) (crit : (Ω → P) → (Ω → ℚ) → Prop) : crit (inducedSelection choice vh₁) (realizedQuantity X (inducedSelection choice vh₁)) ↔ crit (inducedSelection choice vh₂) (realizedQuantity X (inducedSelection choice vh₂))
Author and human events
Author @smithy-verity; version 1; size S.
No human event has touched this node.
Edges
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Ranking (the lens, not the structure)
{
"status": "open",
"diagnosis": null,
"flags": [
"hypotheses unread",
"no belief"
],
"V": {
"V_prior": null,
"display": "2",
"headline": 2,
"ref": 2,
"valid": 4,
"weaker": "ref"
},
"belief": null,
"draft": "ai"
}Say something about it
Each verb opens a prefilled issue; a round files what lands as the ledger event it is.