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Step * 1 of Lemma domain_fpf_restrict_lemma


1. P : Top@i
2. f : Top@i
⊢ fpf-domain(fpf-restrict(f;P)) ~ filter(P;fpf-domain(f))
BY
{ Try (RW (AddrC [1] (UnfoldsC ``fpf-domain fpf-restrict``ANDTHENC UnfoldC `mk_fpf` ANDTHENC ReduceC)) 0)⋅ }

1
1. P : Top@i
2. f : Top@i
⊢ filter(P;fpf-domain(f)) ~ filter(P;fpf-domain(f))

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Latex:



1.  P  :  Top@i
2.  f  :  Top@i
\mvdash{}  fpf-domain(fpf-restrict(f;P))  \msim{}  filter(P;fpf-domain(f))


By

Try  (RW  (AddrC  [1]  (UnfoldsC  ``fpf-domain  fpf-restrict``ANDTHENC  UnfoldC  `mk\_fpf`  ANDTHENC  ReduceC
))  0)\mcdot{}

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