theorem
proved
term proof
oneDimSubspace_card
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formal statement (Lean)
244theorem oneDimSubspace_card (v : F2Power D) (hv : v ≠ 0) :
245 (oneDimSubspace v).card = 2 := by
proof body
Term-mode proof.
246 unfold oneDimSubspace
247 simp [Finset.card_insert_of_notMem, Ne.symm hv]
248
249/-- The 1-dimensional subspace is closed under addition. -/