mathlib
d5964a9a - feat(measure_theory): `int.floor` etc are measurable (#10265)

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4 years ago
feat(measure_theory): `int.floor` etc are measurable (#10265) ## API changes ### `algebra/order/archimedean` * rename `rat.cast_floor` to `rat.floor_cast` to reflect the order of operations; * same for `rat.cast_ceil` and `rat.cast_round`; * add `rat.cast_fract`. ### `algebra/order/floor` * add `@[simp]` to `nat.floor_eq_zero`; * add `nat.floor_eq_iff'`, `nat.preimage_floor_zero`, and `nat.preimage_floor_of_ne_zero`; * add `nat.ceil_eq_iff`, `nat.preimage_ceil_zero`, and `nat.preimage_ceil_of_ne_zero`; * add `int.preimage_floor_singleton`; * add `int.self_sub_floor`, `int.fract_int_add`, `int.preimage_fract`, `int.image_fract`; * add `int.preimage_ceil_singleton`. ### `measure_theory/function/floor` New file. Prove that the functions defined in `algebra.order.floor` are measurable.
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