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theorem proved tactic proof

preserves_own_leaf_iff_mem_Radical

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formal statement (Lean)

 121theorem preserves_own_leaf_iff_mem_Radical {n : ℕ} (α t v : Vec n) :
 122    (∀ s : ℝ, affineShift t v s ∈ LevelSet α (dot α t)) ↔ v ∈ Radical α := by

proof body

Tactic-mode proof.

 123  constructor
 124  · intro h
 125    have h1 := h 1
 126    rw [mem_LevelSet_iff, dot_affineShift] at h1
 127    unfold Radical
 128    have : dot α v = 0 := by linarith
 129    exact this
 130  · intro hv s
 131    exact affineShift_mem_LevelSet α (by simp [LevelSet]) hv
 132
 133end Ndim
 134end Cost
 135end IndisputableMonolith

depends on (9)

Lean names referenced from this declaration's body.