Nuprl Lemma : ap_fpf_restrict_lemma
∀x,eq,P,f:Top.  (fpf-restrict(f;P)(x) ~ f(x))
Proof
Definitions occuring in Statement : 
fpf-restrict: fpf-restrict(f;P)
, 
fpf-ap: f(x)
, 
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-ap: f(x)
, 
mk_fpf: mk_fpf(L;f)
, 
pi2: snd(t)
Lemmas referenced : 
top_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
lambdaFormation, 
cut, 
hypothesis, 
lemma_by_obid, 
sqequalRule
Latex:
\mforall{}x,eq,P,f:Top.    (fpf-restrict(f;P)(x)  \msim{}  f(x))
Date html generated:
2018_05_21-PM-09_31_13
Last ObjectModification:
2018_02_09-AM-10_25_37
Theory : finite!partial!functions
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