OAI/MathematicalPhysics/Boltzmann/Compactness/FiniteParameterChain.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

A finite parameterized gain chain as one product integral

This is the Fubini assembly used after replacing each physical collision by its thermal and redundant-plane parameters. The transition maps and densities are explicit functions, and the conclusion is an exact integral identity.

  1. def OAI.BoltzmannNonuniqueness.FiveGainMap.parameterChain line 19
  2. def OAI.BoltzmannNonuniqueness.FiveGainMap.chainIntegrand line 26
  3. theorem OAI.BoltzmannNonuniqueness.FiveGainMap.integrateControls_const_mul line 33
  4. theorem OAI.BoltzmannNonuniqueness.FiveGainMap.parameterChain_eq_nested line 42
  5. theorem OAI.BoltzmannNonuniqueness.FiveGainMap.chainIntegrand_measurable line 58
  6. theorem OAI.BoltzmannNonuniqueness.FiveGainMap.parameterChain_eq_product line 75