`zero_field_converges`

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module: IndisputableMonolith.ClassicalBridge.CoarseGrain
domain: ClassicalBridge
line: 36 · github
papers citing: none yet

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IndisputableMonolith.ClassicalBridge.CoarseGrain on GitHub at line 36.

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formal source

  33
  34/-- **THEOREM**: Trivial convergence for zero field.
  35    Replaces the vacuous `∃ I, True` with a constructive witness. -/
  36theorem zero_field_converges {α : Type} (CG : CoarseGrain α) :
  37    discrete_to_continuum_continuity CG (fun _ => 0) := by
  38  use 0
  39  intro ε hε
  40  use 1
  41  intro n _hn
  42  simp [RiemannSum]
  43  exact hε
  44
  45end ClassicalBridge
  46end IndisputableMonolith

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