`native.rb_map.insert` not working as expected
Prerequisites
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Description
Inserting to an rb_map is not working as expected:
import init.meta
import order.basic
-- evaluates to [(4, 5), (2, 3)] as expected
#eval (((native.rb_map.of_list ([] : list (ℕ × ℕ))).insert 2 3).insert 4 5).to_list
-- evaluates to [(tt, 3), (ff, 5)] as expected
#eval (((native.rb_map.of_list ([] : list (bool × ℕ))).insert tt 3).insert ff 5).to_list
-- evaluates to [((ff, 4), 5)] instead of [((tt, 2), 3), ((ff, 4), 5)]
#eval (((native.rb_map.of_list ([] : list ((bool × ℕ) × ℕ ))).insert (tt,2) 3).insert (ff,4) 5).to_list
Steps to Reproduce
- This can be easily reproduced in gitpod with the latest mathlib.
Expected behavior: expression evaluates to [((tt, 2), 3), ((ff, 4), 5)]
Actual behavior: expression evaluates to [((ff, 4), 5)]
Reproduces how often: always
Versions
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On gitpod: Lean (version 3.44.1, commit 9d5adc6ab80d, Release) and mathlib 861589f224456f278c61596c0ee8a1ba449a6e8b
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On my PC (Ubuntu 20.04) Lean (version 3.42.1, commit 68455b087d87, Release)
Could this be happening because the order in bool × ℕ is not a total ordering?
Edit: yes, it seems that was the problem:
import init.meta
import order.lexicographic
#eval (((native.rb_map.of_list ([] : list ((bool ×ₗ ℕ) × ℕ ))).insert (tt,2) 3).insert (ff,4) 5).size
I don't know if we can require here that the ordering is a total order since rb_map is meta. For the "non meta" rbmap there seems to be a similar issue:
import order.basic
#eval (( (rbmap.from_list ([] : list ((bool×ℕ ) × ℕ))).insert (tt,2) 3).insert (ff,4) 5).to_list
If this is expected behaviour we probably want to document a reminder somewhere in mathlib_docs.
Feel free to make a PR that adds docstrings/module docs explaining that the ordering needs to be total.
We can probably also change the definitions to require a linear_order, since the definition is nonsensical otherwise (incomparable elements are treated as equal, which is generally not a transitive relationship), but I'm not sure if that will have unfortunate side effects.