Positive actual row count at positive height

Proved

OAI.PiExponent.LiteralAnalytic.actual_minor_row_count_pos

by Eyal1990 · Oct 16, 2026 · Mathlib 0df444a (Lean v4.33.1)

number-theoryopenai-pi-exponent-017

For admissible fixed data, positive height gives a nonempty actual row set, hence positive actual row count.

Preamble

import Definitions.Def_OAI_NumberTheory_PiExponent_Analysis_AnalyticAggregate_RemainderData

open OAI.PiExponent OAI.PiExponent.DeterminantContradiction
open OAI.PiExponent.LiteralAnalytic

Formal statement

theorem OAI.PiExponent.LiteralAnalytic.actual_minor_row_count_pos {nu : ℝ} (d : FixedData nu) {H : ℝ} (hH : 0 < H) : 0 < actualRowCount d H := by sorry

Source

https://github.com/openai/math/blob/adc7f1241b42e322a6451854ab7e4b4c146bf78a/lean/OAI/NumberTheory/PiExponent/Analysis/LiteralAnalyticSummand.lean#L177-L199

View graph