TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_origin_derivation_20261029/GapObstruction.lean
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000001 | import Mathlib.Tactic
000002 | 
000003 | /- A source-independent spectral-set lemma. The actual quarter source supplies
000004 |    the positive spectral gap separately. This does not formalize all spectral
000005 |    theory or the physical P1 source identification. No new axiom is declared. -/
000006 | namespace TfptSourceOrigin
000007 | 
000008 | theorem positive_gap_blocks_half_scaling
000009 |     (s : Set ℝ) (gap : ℝ) (hpos : 0 < gap) (hmem : gap ∈ s)
000010 |     (hgap : ∀ x ∈ s, 0 < x → gap ≤ x) :
000011 |     ¬ (∀ x ∈ s, x / 2 ∈ s) := by
000012 |   grind
000013 | 
000014 | #print axioms positive_gap_blocks_half_scaling
000015 | 
000016 | end TfptSourceOrigin