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lemma proved tactic proof

floor_abs_intCast

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formal statement (Lean)

  58lemma floor_abs_intCast (z : Int) : Int.floor (|((z : ℝ))|) = |z| := by

proof body

Tactic-mode proof.

  59  have habs : |((z : ℝ))| = ((|z| : Int) : ℝ) := by
  60    simp
  61  rw [habs]
  62  simpa using (Int.floor_intCast (R := ℝ) (z := |z|))
  63

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