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Reduce ax-13 usage for ~ bnj* theorems #3895

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merged 5 commits into from
Apr 2, 2024
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GinoGiotto
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This PR affects only Jonathan Ben-Naim mathbox, specifically:

  • Add theorem bnj985v, which is a version of bnj985 with an additional dv condition, not relying on ax-13.

  • Use bnj985v in the proof of bnj1018 to drop ax-13 (statement and dv conditions of bnj1018 stay the same).

  • Add theorem bnj1018g, which is a more general version than bnj1018, but requiring ax-13. This should solve the conflict reported in Discourage indirect usage of ax-13? #3879 (comment).

  • Add cross references between bnj985v and bnj985, and between bnj1018 and bnj1018g.

  • Add $j tags to bnj985v and bnj1018.

  • Remove ax-13 usage from the remaining ~ bnj* theorems.

This PR drops ax-13 from 32 theorems. Full axiom usage here: 07cb7cc

@wlammen wlammen merged commit d9d2edd into metamath:develop Apr 2, 2024
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@GinoGiotto GinoGiotto deleted the bnj branch April 2, 2024 17:27
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5 participants