Nuprl Lemma : domain_fpf_restrict_lemma
∀P,f:Top.  (fpf-domain(fpf-restrict(f;P)) ~ filter(P;fpf-domain(f)))
Proof
Definitions occuring in Statement : 
fpf-restrict: fpf-restrict(f;P)
, 
fpf-domain: fpf-domain(f)
, 
filter: filter(P;l)
, 
top: Top
, 
all: ∀x:A. B[x]
, 
sqequal: s ~ t
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
fpf-restrict: fpf-restrict(f;P)
, 
fpf-domain: fpf-domain(f)
, 
mk_fpf: mk_fpf(L;f)
, 
pi1: fst(t)
Latex:
\mforall{}P,f:Top.    (fpf-domain(fpf-restrict(f;P))  \msim{}  filter(P;fpf-domain(f)))
Date html generated:
2016_05_16-AM-11_33_24
Last ObjectModification:
2015_12_29-AM-09_28_12
Theory : event-ordering
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