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lemma proved term proof

inBall_subset_ballP

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formal statement (Lean)

  29lemma inBall_subset_ballP {K : Kinematics α} {x y : α} {n : Nat} :
  30  inBall K x n y → ballP K x n y := by

proof body

Term-mode proof.

  31  intro ⟨k, hk, hreach⟩
  32  have : ballP K x k y := reach_mem_ballP (K:=K) (x:=x) (y:=y) hreach
  33  exact (ballP_mono (K:=K) (x:=x) hk) this
  34

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