This PR implements the methods `min`, `max`, `minKey`, `maxKey`,
`atIndex`, `getEntryLE`, `getKeyLE` and consorts on the tree map.
In order to implement the proof-based functions such as `min` and
`getEntryLT` in `Queries.lean`, it was necessary to extract `Balanced`
and `Ordered` into new files so that they can be used from
`Queries.lean`.
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Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
This PR implements the methods `insertMany`, `ofList`, `ofArray`,
`foldr` and `foldrM` on the tree map.
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Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
This PR adds some deprecated function aliases to the tree map in order
to ease the transition from the `RBMap` to the tree map.
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Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
This PR introduces ordered map data structures, namely `DTreeMap`,
`TreeMap`, `TreeSet` and their `.Raw` variants, into the standard
library. There are still some operations missing that the hash map has.
As of now, the operations are unverified, but the corresponding lemmas
will follow in subsequent PRs. While the tree map has already been
optimized, more micro-optimization will follow as soon as the new code
generator is ready.
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Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
