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theorem proved term proof

operator_positivity_pointwise

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formal statement (Lean)

 100theorem operator_positivity_pointwise (w_val f_val : ℝ) (hw : 1 ≤ w_val) :
 101    f_val ^ 2 ≤ w_val * f_val ^ 2 := by

proof body

Term-mode proof.

 102  nlinarith [sq_nonneg f_val]
 103
 104/-- Operator positivity implies the energy functional is bounded below. -/

depends on (4)

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