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Amenability assumption evidence

Family 248: Thompson's group <i>F</i> is nonamenable. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Record the claimed nonamenability of Thompson group F for research workflows relying on amenability.

Applicability and commercial boundary

This does not directly determine performance of a finite system or provide a practical amenability decider.

Initial business decision

Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.

Next verification action

Inspect the proof, formal scope and an explicit witness representation.

Evidence scope

The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Thompson's group F is nonamenable.