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theorem proved term proof

oneDimSubspace_closed

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formal statement (Lean)

 250theorem oneDimSubspace_closed (v : F2Power D) (a b : F2Power D)
 251    (ha : a ∈ oneDimSubspace v) (hb : b ∈ oneDimSubspace v) :
 252    a + b ∈ oneDimSubspace v := by

proof body

Term-mode proof.

 253  unfold oneDimSubspace at ha hb ⊢
 254  simp [Finset.mem_insert, Finset.mem_singleton] at ha hb ⊢
 255  rcases ha with ha | ha <;> rcases hb with hb | hb <;>
 256    subst_vars <;> simp [add_self]
 257
 258end F2Power
 259
 260end Algebra
 261end IndisputableMonolith

depends on (3)

Lean names referenced from this declaration's body.