Intuitionize ZZring #4697
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Intuitionize ZZring #4697
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Stated as in set.mm. The proof needs some intuitionizing but is basically the set.mm proof. Adjust comment for how we expect to use it in iset.mm.
This was already renamed in set.mm.
This is the section header, syntax and df-zring . Copied without change from set.mm.
Stated as in set.mm. The proof needs a little bit of intuitionizing but is basically the set.mm proof.
Stated as in set.mm. The proof needs a little intuitionizing but is basically the set.mm proof.
Don't refer to a theorem we don't yet have in iset.mm
Stated as in set.mm. The proof needs a little intuitionizing but is basically the set.mm proof.
Stated as in set.mm. The proof needs some intuitionizing but is basically the set.mm proof.
Stated as in set.mm. The proof is direct from ress0g . The commment is the same as set.mm except for a reference to two theorems which iset.mm doesn't have yet.
Stated as in set.mm. The intuitionizing of the proof consists of renaming one theorem reference but the proof is otherwise the set.mm proof.
Stated as in set.mm. The proof needs a little intuitionizing but is basically the set.mm proof.
This is zringlpirlem1 , zringlpirlem2 , zringlpirlem3 , zringlpir , zringndrg , and zringcyg .
Stated as in set.mm. The proof needs a small tweak (at least as iset.mm stands currently) but is basically the set.mm proof.
This is prmirredlem , dfprm2 , and prmirred
icecream17
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Mar 8, 2025
iset.mm
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| $( The multiplication group of the ring of integers is the restriction of the | ||
| multiplication group of the complex numbers to the integers. (Contributed | ||
| by AV, 15-Jun-2019.) $) | ||
| zringmpg $p |- ( ( mulGrp ` CCfld ) |`s ZZ ) = ( mulGrp ` ZZring ) $= |
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A carryover typo (appears twice:)
multiplication group --> multiplicative group
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Changed in both set.mm and iset.mm.
Change multiplication group to multiplicative group
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This is the section "Ring of integers"
Includes bringing over one rename from set.mm and a few theorems from other sections.
Most theorems require few changes. Others are noted in mmil.html as not yet intuitionized.