feat(StatMech): prove partition-function analyticity; drop Z-smoothness sorry#1077
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dennj wants to merge 1 commit intoleanprover-community:masterfrom
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feat(StatMech): prove partition-function analyticity; drop Z-smoothness sorry#1077dennj wants to merge 1 commit intoleanprover-community:masterfrom
dennj wants to merge 1 commit intoleanprover-community:masterfrom
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…ss sorry Replace `DifferentiableAt_Z_if_ZIntegrable`'s sorry with a real Morera-style proof. Extract the general complex Laplace transform analyticity infrastructure to `ForMathlib/ComplexLaplaceTransform.lean` and use it to derive partition-function smoothness via the bridge `contDiffAt_partitionZ_of_mem_interior_convergenceDomain`. Also: - `MicroHamiltonian` now requires `measurable_H` as a structure field (matches the implicit prerequisite for `PartitionZ` to make sense). - `IdealGas` discharges the new field. - `entropy_A_eq_entropy_Z` and `β_eq_deriv_S_U` take their minimal-hypothesis forms: convergence-domain membership replaces smoothness/integrability bundles, and the redundant `Measurable H` argument is gone.
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Replace
DifferentiableAt_Z_if_ZIntegrable's sorry with a real Morera-style proof. Extract the general complex Laplace transform analyticity infrastructure toForMathlib/ComplexLaplaceTransform.leanand use it to derive partition-function smoothness via the bridgecontDiffAt_partitionZ_of_mem_interior_convergenceDomain.Also:
MicroHamiltoniannow requiresmeasurable_Has a structure field (matches the implicit prerequisite forPartitionZto make sense).IdealGasdischarges the new field.entropy_A_eq_entropy_Zandβ_eq_deriv_S_Utake their minimal-hypothesis forms: convergence-domain membership replaces smoothness/integrability bundles, and the redundantMeasurable Hargument is gone.