maxmin.representation.record
leaf/record · drafted
Statement
The declaration Workspace.Normativity.Contrib.MaxMinRepresentation.exists_maxMin_representation is accepted by the Lean kernel in the repository's Lean library.
Source
projects/normativity/CLAIMS.md, entry maxmin.representation (class lean-proved, status active, origin round 2026-08-18-maxmin-representation; answers item 50). Documentation: verification: projects/normativity/notes/GENERALIZED_LI_PAPER_HANDOFF.md; context: projects/normativity/rounds/2026-08-18-maxmin-representation/README.md. The signature of Workspace.Normativity.Contrib.MaxMinRepresentation.exists_maxMin_representation (theorem) in lean/Workspace/Normativity/Contrib/MaxMinRepresentation.lean, verbatim, binders included (ruling F1, 2026-10-23: the hypotheses are unread, and this text is what a reader files them from):
[Finite ι] {Γ : Set E} {f : E → ℝ} {g : ι → E →ᵃ[ℝ] ℝ} (hΓ : Convex ℝ Γ) (hne : Γ.Nonempty) (hf : IsPiecewiseAffineOn Γ f g) : ∃ (m : ℕ) (S : Fin (m + 1) → Finset ι) (hS : ∀ j, (S j).Nonempty), ∀ x ∈ Γ, f x = Finset.univ.sup' Finset.univ_nonempty fun j => (S j).inf' (hS j) fun i => g i x
Author and human events
Author @smithy-verity; version 1; size S.
No human event has touched this node.
Edges
Above
- part of maxmin.representation
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.