<commit_before>categories (topic)
1. if pointers change, they must improve...
   - preds
   - first succs
   - other succs
2. changing one thing suffices to improve merge point
3. how first

categories (difficulty)
1. needs a more general invariant
2. needs to be reduced to safety properties
3. needs some ltl facts about sub-operations
4. easily proven by induction or by using existing facts

# ChordCorrectPhaseOne: 2 admits

## some intervention

- phase_one_error_continuously_nonincreasing

## straightforward

- open_stabilize_request_until_timeout

# ChordCorrectPhaseTwo: 34 admits

## complicated

- better_pred_eventually_improves_succ
- open_stabilize_request_until_response
- merge_points_preserved_until_error_drops
- incoming_GotPredAndSuccs_with_a_after_p_causes_improvement
- error_decreases_when_succs_right

## some intervention

- phase_two_zero_error_locally_correct
- joins_stop
- pred_error_nonincreasing
- first_succ_error_nonincreasing
- notify_when_pred_None_eventually_improves<commit_msg>add a little explanation in admits.md of priorities<commit_after>Admits are grouped by file and by a rough priority measure.

1. The "useless" heading means the lemma is never used in the phase *n*
   arguments or is only used in proofs of facts that are themselves useless.

2. The "straightforward" heading means that the admitted fact is likely provable
   using a straightforward inductive argument and crank-turning. It doesn't mean
   the right spec lemmas already exist to do that crank turning.

3. The "some intervention" heading means that the lemma might be a consequence
   of a larger invariant or requires being broken down into smaller admits
   before it's straightforward to prove.

4. The "complicated" heading means it's my problem and needs a lot of new lemmas
   or reformulation of definitions before it's provable.

# ChordCorrectPhaseOne: 2 admits

## some intervention

- phase_one_error_continuously_nonincreasing

## straightforward

- open_stabilize_request_until_timeout

# ChordCorrectPhaseTwo: 34 admits

## complicated

- better_pred_eventually_improves_succ
- open_stabilize_request_until_response
- merge_points_preserved_until_error_drops
- incoming_GotPredAndSuccs_with_a_after_p_causes_improvement
- error_decreases_when_succs_right

## some intervention

- phase_two_zero_error_locally_correct
- joins_stop
- pred_error_nonincreasing
- first_succ_error_nonincreasing
- notify_when_pred_None_eventually_improves
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