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theorem proved tactic proof

cos_satisfies_axioms

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formal statement (Lean)

 355theorem cos_satisfies_axioms : AngleCouplingAxioms Real.cos where
 356  dAlembert := cos_dAlembert

proof body

Tactic-mode proof.

 357  continuous := Real.continuous_cos
 358  normalized := Real.cos_zero
 359  calibrated := by
 360    have h : deriv (deriv (fun x => Real.cos x)) 0 = -Real.cos 0 := cos_second_deriv_eq 0
 361    rw [h]
 362    simp [Real.cos_zero]
 363
 364/-- cos satisfies standard regularity. -/

depends on (4)

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