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One direction of sb5 is provable from fewer axioms #3780

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merged 7 commits into from
Jan 21, 2024

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wlammen
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@wlammen wlammen commented Jan 20, 2024

  1. One direction of sb5 is provable from axioms up to ax-7 only. Add this theorem as sb1v, matching the similar sb1 in name.
  2. Delete outdated OLD theorems

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@benjub
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benjub commented Jan 20, 2024

I think wl-sb1v should be moved to Main. Can it be used in other theorems (possibly adapting the proofs), in particularly the ones using sb1/sb5 ?

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wlammen commented Jan 20, 2024

Can it be used in other theorems (possibly adapting the proofs), in particularly the ones using sb1/sb5 ?

I did a quick check to see whether it helps in other theorems, but I found no instance.

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benjub commented Jan 20, 2024

Can it be used in other theorems (possibly adapting the proofs), in particularly the ones using sb1/sb5 ?

I did a quick check to see whether it helps in other theorems, but I found no instance.

To me, even without applications, it's worth it in its own sake. So, now or in a future PR, as you prefer.

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@wlammen wlammen merged commit 70b2981 into metamath:develop Jan 21, 2024
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5 participants