[Merged by Bors] - feat(measure_theory/group/basic): introduce a class is_haar_measure, and its basic properties #9142
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…and its basic properties (#9142) We have in mathlib a construction of Haar measures. But there are many measures which do not come from this construction, and are still Haar measures (Lebesgue measure on a vector space, Hausdorff measure of the right dimension, for instance). We introduce a new class `is_haar_measure` (and its additive analogue) to be able to express facts simultaneously for all these measures, and prove their basic properties.
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…and its basic properties (#9142) We have in mathlib a construction of Haar measures. But there are many measures which do not come from this construction, and are still Haar measures (Lebesgue measure on a vector space, Hausdorff measure of the right dimension, for instance). We introduce a new class `is_haar_measure` (and its additive analogue) to be able to express facts simultaneously for all these measures, and prove their basic properties.
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…and its basic properties (#9142) We have in mathlib a construction of Haar measures. But there are many measures which do not come from this construction, and are still Haar measures (Lebesgue measure on a vector space, Hausdorff measure of the right dimension, for instance). We introduce a new class `is_haar_measure` (and its additive analogue) to be able to express facts simultaneously for all these measures, and prove their basic properties.
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…and its basic properties (#9142) We have in mathlib a construction of Haar measures. But there are many measures which do not come from this construction, and are still Haar measures (Lebesgue measure on a vector space, Hausdorff measure of the right dimension, for instance). We introduce a new class `is_haar_measure` (and its additive analogue) to be able to express facts simultaneously for all these measures, and prove their basic properties.
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…and its basic properties (#9142) We have in mathlib a construction of Haar measures. But there are many measures which do not come from this construction, and are still Haar measures (Lebesgue measure on a vector space, Hausdorff measure of the right dimension, for instance). We introduce a new class `is_haar_measure` (and its additive analogue) to be able to express facts simultaneously for all these measures, and prove their basic properties.
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We have in mathlib a construction of Haar measures. But there are many measures which do not come from this construction, and are still Haar measures (Lebesgue measure on a vector space, Hausdorff measure of the right dimension, for instance). We introduce a new class
is_haar_measure(and its additive analogue) to be able to express facts simultaneously for all these measures, and prove their basic properties.This is just a first step: in later PRs, I will show that Lebesgue measure and Haar measures satisfy this predicate, and prove further properties. For now, I am just PRing what touched the file
measure_theory.group.basic, to keep things at a reasonable size.