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better doc
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riccardobrasca committed Sep 11, 2024
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2 changes: 1 addition & 1 deletion FltRegular/NumberTheory/Hilbert92.lean
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Expand Up @@ -40,7 +40,7 @@ noncomputable
def systemOfUnits.index [Module A G] (sys : systemOfUnits p G r) [sys.IsMaximal] :=
Fintype.card (G ⧸ Submodule.span A (Set.range sys.units))

/-- A system of units is fundamental if its maximal and has smallest index -/
/-- A system of units is fundamental if it's maximal and the submodule generated by the elements of the system has smallest index. -/
def systemOfUnits.IsFundamental [Module A G] (h : systemOfUnits p G r) :=
∃ _ : h.IsMaximal, ∀ (s : systemOfUnits p G r) (_ : s.IsMaximal), h.index ≤ s.index

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