This PR provides lemmas about the tree map functions `getKey?`,
`getKey`, `getKey!`, `getKeyD` and `insertIfNew` and their interaction
with other functions for which lemmas already exist.
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Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
This PR provides lemmas for the tree map functions `get`, `get!` and
`getD` in relation to the other operations for which lemmas already
exist.
Internally, the `simp_to_model` tactic was provided two new simp lemmas
to eliminate some common complications that require `rw`'ing before
using `simp_to_model`. However, it is still necessary to sometimes
`revert` some hypotheses.
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Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
This PR provides tree map lemmas about the interaction of
`containsThenInsert(IfNew)` with `contains` and `insert(IfNew)`.
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Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
This PR adds all missing tree map lemmas about the interactions of the
functions `empty`, `isEmpty`, `contains`, `size`, `insert(IfNew)` and
`erase`.
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Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
This PR adds some lemmas about the new tree map. These lemmas are about
the interactions of `empty`, `isEmpty`, `insert`, `contains`. Some
lemmas about the interaction of `contains` with the others will follow
in a later PR.
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Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
