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lemma proved term proof

ballP_mono

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formal statement (Lean)

  14lemma ballP_mono {K : Kinematics α} {x : α} {n m : Nat}
  15  (hnm : n ≤ m) : {y | ballP K x n y} ⊆ {y | ballP K x m y} := by

proof body

Term-mode proof.

  16  induction hnm with
  17  | refl => intro y hy; simpa using hy
  18  | @step m hm ih =>
  19      intro y hy
  20      exact Or.inl (ih hy)
  21

used by (3)

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depends on (12)

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