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Commit 2021-12-16 10:58 b5b19a69

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feat(ring_theory/local_property): Being reduced is a local property. (#10734)

Estimated changes

Modified src/ring_theory/ideal/operations.lean

added theorem submodule.mem_annihilator_span

added theorem submodule.mem_annihilator_span_singleton

Created src/ring_theory/local_properties.lean

added theorem eq_zero_of_localization

added theorem ideal_eq_zero_of_localization

added theorem is_reduced_of_localization_maximal

added theorem localization_is_reduced

added def localization_preserves

added def of_localization_maximal

Modified src/ring_theory/localization.lean

added theorem is_localization.map_eq_zero_iff

Modified src/ring_theory/nilpotent.lean

added theorem is_nilpotent.map