[Merged by Bors] - split(algebra/order/nonneg): Separate ring and field instances
#17348
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YaelDillies
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eric-wieser
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…17348) Split `algebra.order.nonneg` into: * `algebra.order.nonneg.ring` for ring instances * `algebra.order.nonneg.field` for field and archimedean instances
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…17348) Split `algebra.order.nonneg` into: * `algebra.order.nonneg.ring` for ring instances * `algebra.order.nonneg.field` for field and archimedean instances
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…17348) Split `algebra.order.nonneg` into: * `algebra.order.nonneg.ring` for ring instances * `algebra.order.nonneg.field` for field and archimedean instances
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…17348) Split `algebra.order.nonneg` into: * `algebra.order.nonneg.ring` for ring instances * `algebra.order.nonneg.field` for field and archimedean instances
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…17348) Split `algebra.order.nonneg` into: * `algebra.order.nonneg.ring` for ring instances * `algebra.order.nonneg.field` for field and archimedean instances
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ring and field instancesring and field instances
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Split
algebra.order.nonneginto:algebra.order.nonneg.ringfor ring instancesalgebra.order.nonneg.fieldfor field and archimedean instancesAt this point in time, this is a no-op on the import tree, but I need this to introduce
nnrat.cast(see #16554).I also foresee that the field and archimedean instances will need further splitting, but I don't yet have evidence for this so I would rather leave this for later.