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6 changes: 4 additions & 2 deletions iset-discouraged
Original file line number Diff line number Diff line change
Expand Up @@ -70,6 +70,7 @@
"ax-addf" is used by "addcncntop".
"ax-addf" is used by "addex".
"ax-addf" is used by "cnfldplusf".
"ax-addf" is used by "mpocnfldadd".
"ax-addrcl" is used by "readdcl".
"ax-arch" is used by "arch".
"ax-caucvg" is used by "caucvgre".
Expand All @@ -86,6 +87,7 @@
"ax-mulass" is used by "mulass".
"ax-mulcl" is used by "mulcl".
"ax-mulcom" is used by "mulcom".
"ax-mulf" is used by "mpocnfldmul".
"ax-mulf" is used by "mulcncntop".
"ax-mulf" is used by "mulex".
"ax-mulrcl" is used by "remulcl".
Expand Down Expand Up @@ -354,7 +356,7 @@ New usage of "ax-1re" is discouraged (1 uses).
New usage of "ax-addass" is discouraged (1 uses).
New usage of "ax-addcl" is discouraged (1 uses).
New usage of "ax-addcom" is discouraged (1 uses).
New usage of "ax-addf" is discouraged (3 uses).
New usage of "ax-addf" is discouraged (4 uses).
New usage of "ax-addrcl" is discouraged (1 uses).
New usage of "ax-arch" is discouraged (1 uses).
New usage of "ax-caucvg" is discouraged (1 uses).
Expand All @@ -370,7 +372,7 @@ New usage of "ax-io" is discouraged (1 uses).
New usage of "ax-mulass" is discouraged (1 uses).
New usage of "ax-mulcl" is discouraged (1 uses).
New usage of "ax-mulcom" is discouraged (1 uses).
New usage of "ax-mulf" is discouraged (2 uses).
New usage of "ax-mulf" is discouraged (3 uses).
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Why is it nessesary to use discouraged theorems here? Aren't there corresponding not discouraged theorems available?

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The short answer is that the two choices are to use https://us.metamath.org/ileuni/cnfldmul.html (already in iset.mm) or add mpocnfldmul (as it is stated in set.mm). The most plausible way to prove mpocnfldmul in the short run is via ax-mulf. The cnfldmul approach wouldn't show up as an additional use of a discouraged theorem but it would actually entrench ax-mulf further.

I don't know how familiar you are with the ax-mulf background but in a nutshell:

There are also some dissenting voices:

I'm not really trying to get involved in something which is still being worked out in set.mm - I am just trying to follow current set.mm practice as readily as can be done without a large amount of effort.

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OK, if this is still in discussion in set.mm, we can take its current state over to iset.mm.

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Yeah, that's pretty much the situation. Even if/when things settle down in set.mm, it is still work to bring it over to iset.mm (adjusting as needed for the differences between the two) - my philosophy for how to do that is "one step at a time".

New usage of "ax-mulrcl" is discouraged (1 uses).
New usage of "ax0id" is discouraged (0 uses).
New usage of "ax0lt1" is discouraged (0 uses).
Expand Down
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