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Commit 2020-07-17 07:23 7d31f772

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refactor(measure_theory/*): big refactor (#3373) Big refactor of integrals, fixes #3084 Make integral (f : α → E) (μ : measure α) the main definition, and use notation for other integrals (over a set and/or w.r.t. the canonical measure volume).

Estimated changes

modified theorem measure_theory.integral_div
modified theorem measure_theory.integral_eq
modified theorem measure_theory.integral_neg
modified theorem measure_theory.l1.coe_add
modified theorem measure_theory.l1.coe_neg
modified theorem measure_theory.l1.coe_smul
modified theorem measure_theory.l1.coe_sub
modified theorem measure_theory.l1.coe_zero
modified theorem measure_theory.l1.dist_eq
modified theorem measure_theory.l1.edist_eq
modified theorem measure_theory.l1.mk_to_fun
modified theorem measure_theory.l1.norm_eq
modified def measure_theory.l1
modified theorem is_measurable.compl_iff
modified theorem is_measurable.empty
added theorem is_measurable.insert
modified theorem is_measurable.univ
added theorem is_measurable_eq
deleted theorem is_measurable_inl_image
added theorem is_measurable_insert
deleted theorem measurable.if
added theorem measurable.indicator
added theorem measurable.piecewise
deleted theorem measurable.preimage
added theorem measurable.sum_rec
modified def measurable
modified theorem measurable_const
added theorem measurable_fst
modified theorem measurable_id
added theorem measurable_iff_le_map
modified theorem measurable_inl
modified theorem measurable_inr
added theorem measurable_one
added theorem measurable_snd
added theorem measurable_subtype_coe
deleted theorem measurable_sum_rec
deleted theorem measurable_zero
modified theorem measure_theory.ae_eq_refl
modified theorem measure_theory.ae_eq_symm
modified theorem measure_theory.ae_eq_trans
modified theorem measure_theory.ae_iff
modified theorem measure_theory.ae_of_all
modified theorem measure_theory.measure.ext
modified theorem measure_theory.mem_ae_iff
deleted theorem integrable_on.add
deleted theorem integrable_on.divide
deleted theorem integrable_on.mul_left
deleted theorem integrable_on.mul_right
deleted theorem integrable_on.neg
deleted theorem integrable_on.smul
deleted theorem integrable_on.sub
deleted theorem integrable_on.subset
deleted theorem integrable_on.union
deleted def integrable_on
deleted theorem integrable_on_congr
deleted theorem integrable_on_congr_ae
deleted theorem integrable_on_empty
deleted theorem integrable_on_norm_iff
deleted theorem integral_on_Union
deleted theorem integral_on_add
deleted theorem integral_on_congr
deleted theorem integral_on_congr_of_set
deleted theorem integral_on_div
deleted theorem integral_on_mul_left
deleted theorem integral_on_mul_right
deleted theorem integral_on_neg
deleted theorem integral_on_nonneg
deleted theorem integral_on_nonneg_of_ae
deleted theorem integral_on_nonpos
deleted theorem integral_on_nonpos_of_ae
deleted theorem integral_on_smul
deleted theorem integral_on_sub
deleted theorem integral_on_undef
deleted theorem integral_on_union
deleted theorem integral_on_union_ae
deleted theorem integral_on_zero
deleted theorem measurable.measurable_on
deleted theorem measurable_on.subset
deleted theorem measurable_on.union
deleted def measurable_on
deleted theorem measurable_on_empty
deleted theorem measurable_on_singleton