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WLPO implies Decidability of equality with the point at infinity in NN+oo #4469

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merged 2 commits into from
Dec 8, 2024
Merged

WLPO implies Decidability of equality with the point at infinity in NN+oo #4469

merged 2 commits into from
Dec 8, 2024

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jkingdon
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@jkingdon jkingdon commented Dec 6, 2024

That is,

    nninfdcinf.w $e |- ( ph -> _om e. WOmni ) $.
    nninfdcinf.n $e |- ( ph -> N e. NN+oo ) $.
    nninfdcinf $p |- ( ph -> DECID N = ( i e. _om |-> 1o ) ) $=

The larger picture here is #4151 but this was one theorem I was able to prove.

@jkingdon
copy fnmptfvd from set.mm to iset.mm
abd9dff
@jkingdon
Add nninfdcinf to iset.mm
f7f3602 
This is a theorem which gives a consequence of WLPO related to NN+oo .
@jkingdon jkingdon mentioned this pull request Dec 6, 2024
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@jkingdon jkingdon merged commit 04daf46 into metamath:develop Dec 8, 2024
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@jkingdon jkingdon deleted the nninfdcinf branch December 8, 2024 05:14
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@icecream17 icecream17 icecream17 approved these changes

@avekens avekens avekens approved these changes

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