feat(NumberField/MixedSpace): add polar coordinates change of variables (part 2)

[xroblot]

---

• depends on: feat(NumberField/MixedSpace): add polar coordinates change of variables (part 1) #22120

[github-actions]

PR summary cde33100b6

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.PolarCoord (new file)	2562

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Declarations diff

+ FDerivPolarCoordRealSymm
+ continuous_polarCoord_symm
+ det_fderivPolarCoordRealSymm
+ det_prodMap
+ hasFDerivAt_polarCoordReal_symm
+ homeoRealMixedSpacePolarSpace
+ homeoRealMixedSpacePolarSpace_apply
+ homeoRealMixedSpacePolarSpace_apply_fst_ofIsComplex
+ homeoRealMixedSpacePolarSpace_apply_fst_ofIsReal
+ homeoRealMixedSpacePolarSpace_apply_snd
+ homeoRealMixedSpacePolarSpace_symm_apply
+ injective_mixedSpaceOfRealSpace
+ instance : IsAddHaarMeasure (volume : Measure (realMixedSpace K)) := prod.instIsAddHaarMeasure _ _
+ integral_comp_polarCoordReal_symm
+ integral_comp_polarCoord_symm
+ integral_comp_polarSpaceCoord_symm
+ lintegral_comp_polarCoordReal_symm
+ lintegral_comp_polarCoord_symm
+ lintegral_comp_polarSpaceCoord_symm
+ measurableEquivRealMixedSpacePolarSpace
+ measurable_polarCoordReal_symm
+ measurable_polarCoord_symm
+ measurable_polarSpaceCoord_symm
+ mem_iff_normAtAllPlaces_mem
+ mem_iff_normAtAllPlaces_mem_iff
+ mixedSpaceNormAtAllPlaces_apply
+ mixedSpaceOfRealSpace
+ mixedSpaceOfRealSpace_apply
+ mixedSpaceToRealMixedSpace
+ mixedSpaceToRealMixedSpace_apply
+ negAt_apply_norm_of_isReal
+ normAtAllPlaces
+ normAtAllPlaces_apply
+ normAtAllPlaces_normAtAllPlaces
+ normAtComplexPlaces
+ normAtComplexPlaces_apply_ofIsComplex
+ normAtComplexPlaces_apply_ofIsReal
+ normAtComplexPlaces_eq_normAtComplexPlaces_iff
+ normAtComplexPlaces_mixedSpaceOfReal
+ normAtComplexPlaces_preimage_image_eq
+ normAtPlace_apply_of_isComplex
+ normAtPlace_apply_of_isReal
+ normAtPlace_polarCoord_symm_of_isComplex
+ normAtPlace_polarCoord_symm_of_isReal
+ normMapComplex_polarSpaceCoord
+ polarCoord
+ polarCoordReal
+ polarCoordReal_source
+ polarCoordReal_symm_target_ae_eq_univ
+ polarCoord_symm_eq
+ polarCoord_target_eq_polarCoordReal_target
+ polarSpace
+ polarSpaceCoord
+ polarSpaceCoord_target'
+ realMixedSpace
+ realSpace
+ realSpace.volume_eq_zero
+ realSpaceNormAtComplexPlaces
+ realSpaceNormAtComplexPlaces_apply_ofIsComplex
+ realSpaceNormAtComplexPlaces_apply_ofIsReal
+ volume_eq_two_pi_pow_mul_integral
+ volume_eq_two_pow_mul_two_pi_pow_mul_integral
+ volume_eq_two_pow_mul_two_pi_pow_mul_integral_aux₁
+ volume_preserving_homeoRealMixedSpacePolarSpace
+ volume_preserving_mixedSpaceToRealMixedSpace_symm
- normAtPlace_apply_isComplex
- normAtPlace_apply_isReal

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

---

Increase in tech debt: (relative, absolute) = (1.00, 0.00)

Current number	Change	Type
1309	1	erw

Current commit cde33100b6
Reference commit ab742a3f6b

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• feat(NumberField/MixedSpace): add polar coordinates change of variables (part 1) #22120
  By Dependent Issues (🤖). Happy coding!