Extract common proof patterns into lemmata

[savask]

Some statements are often reproved in set.mm over and over. The following list was identified with computer search:

https://gist.github.com/savask/dce5b48b7317e8144635fda09e983fae

The first column is 'score' which correlates with the potential amount of saved bytes, second is the number of essential hypotheses, and the third is the list of essential steps of the proof, see https://groups.google.com/g/metamath/c/aXvD9rs36Ps for details.

Per suggestion of @benjub this issue will be used to record which theorems were incorporated into set.mm and which were deemed unworthy. By line number in the gist:

• 1 as fvexi (#2766; was already in set.mm/Main, so only carry out minimize_with fvexi); lowers the scores of Lines 11, 25, 28, 33, 61
• 5 as hllatd (#2770)
• 8 as ffnd (#2771; was already in set.mm/Main, so only carry out minimize_with ffnd)
• 9 as frnd (#2773; was already in set.mm/mathbox, so move to Main and carry out minimize_with frnd)
• 10 as fdm (#2774; was already in set.mm/mathbox, so move to Main and carry out minimize_with fdmd)
• 11 score lowered by Line 1
• 15 as ne0d (#2775; was already in set.mm/mathbox, so move to Main and carry out minimize_with ne0d)
• 22 as fmpttd (#2776)
• 23 as fvoveq1 (#2708, which also adds fvoveq1d)
• 25 score lowered by Line 1
• 27 as brralrspcev (#2782)
• 28 as mptfvmpt (#2784)
• 30 as fssdm (#2784, which also adds fssdmd)
• 32 score lowered by Line 42
• 33 score lowered by Line 1
• 34 discarded (see https://groups.google.com/g/metamath/c/aXvD9rs36Ps/m/QxTG7qDQBAAJ)
• 39 as eqelssd (#2784)
• 40 as rspceaimv (#2794)
• 42 as toponrestid with a slight modification (#2668); lowers scores of Lines 32, 66, 82, 88
• 47 as elicc01 (#2782)
• 48 discarded (similar to Line 34)
• 54 as animpimp2impd (#2784)
• 55 discarded as too specialized
• 58 as ovanraleqv (#2768)
• 61 score lowered by Line 1
• 62 as reximssdv (#2784)
• 63 as fv0p1e1 (#2768, which also adds 2fveq3)
• 66 score lowered by Line 42
• 69 discarded as too specialized
• 77 as rnfvprc (#2784)
• 82 score lowered by Line 42
• 87 as brimralrspcev (#2782)
• 88 score lowered by Line 42
• 90 as imbrov2fvoveq (#2780)
• 91 discarded as too specialized (see https://github.com/metamath/set.mm/issues/2710#issuecomment-1221262319)
• 104 as elovolmlem (#2705)
• 107 as axreplem (#2740)

After a first batch of additions, the computer search will be re-run to update the list and the scores.

[david-a-wheeler]

@savask - no worries, in fact, thanks so much for your efforts!!