Form equivalence class Howard-Rubin Number: 67

Statement: AL21\((\mathbb Q)\): Every vector space over\(\mathbb Q\) has the property that for every subspace \(S\) of \(V\), there isa subspace \(S'\) of \(V\) such that \(S \cap S' = \{ 0 \}\) and \(S \cup S'\)generates \(V\) in other words such that \(V = S \oplus S'\). Bleicher [1964], Rubin, H.\/Rubin, J. [1985, pp. 122,123, theorems6.35 and 6.36].\medskip

Howard-Rubin number: 67 AF

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