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structure definition def or abbrev

WeakFieldPair

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formal statement (Lean)

  67structure WeakFieldPair where
  68  field_grav : ProcessingField
  69  field_ext : ProcessingField
  70
  71/-- The combined processing field: pointwise addition. -/
  72def WeakFieldPair.combined (pair : WeakFieldPair) : ProcessingField where
  73  phi h := pair.field_grav.phi h + pair.field_ext.phi h

proof body

Definition body.

  74
  75/-- SUPERPOSITION THEOREM: In the weak-field regime, the gradient of the combined
  76    field equals the sum of the individual gradients.
  77
  78    This is the key result that justifies the linear addition in CoherenceFall. -/

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depends on (13)

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