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Commit 2022-10-27 10:46 9fb40d5a

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feat(measure_theory/integral/periodic): the volume measure on the additive circle is doubling (#17031)

Estimated changes

Modified src/algebra/order/floor.lean

deleted theorem abs_sub_round_le_abs_self

added theorem int.ceil_eq_zero_iff

added theorem int.floor_eq_zero_iff

added theorem round_eq_zero_iff

added theorem round_le

added theorem round_neg_two_inv

added theorem round_two_inv

Modified src/analysis/normed/group/add_circle.lean

added theorem add_circle.closed_ball_eq_univ_of_half_period_le

added theorem add_circle.coe_real_preimage_closed_ball_eq_Union

added theorem add_circle.coe_real_preimage_closed_ball_inter_eq

added theorem add_circle.coe_real_preimage_closed_ball_period_zero

added theorem add_circle.norm_coe_eq_abs_iff

added theorem add_circle.norm_half_period_eq

added theorem add_circle.norm_le_half_period

added theorem add_circle.norm_neg_period

Modified src/data/int/cast.lean

added theorem int.cast_le_neg_one_or_one_le_cast_of_ne_zero

Modified src/measure_theory/integral/periodic.lean

added theorem add_circle.volume_closed_ball