OAI/MathematicalPhysics/Boltzmann/Approximation/PositiveIntegralPasting.lean

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12 declarations, 0 contain sorry, 0 declared as axioms

Subtracting two bounded characteristic integral equations

  1. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.value_sub line 19
  2. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.value_eq_of_time_eq line 52
  3. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.value_time_clamp line 64
  4. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.value_difference_initial_ae line 85
  5. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.value_difference_initial_ae_all line 115
  6. theorem OAI.BoltzmannNonuniqueness.FlightMeasure.value_mono_ae line 145
  7. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.value_abs_le line 181
  8. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.finite_difference_le line 196
  9. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.value_le_constant_ae line 235
  10. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.finite_difference_ae line 251
  11. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.value_eq_at_time line 294
  12. theorem OAI.BoltzmannNonuniqueness.PositiveIntegral.shifted_value line 307