Nuprl Lemma : fpf_ap_pair_lemma
∀x,eq,f,d:Top.  (<d, f>(x) ~ f x)
Proof
Definitions occuring in Statement : 
fpf-ap: f(x)
, 
top: Top
, 
all: ∀x:A. B[x]
, 
apply: f a
, 
pair: <a, b>
, 
sqequal: s ~ t
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
fpf-ap: f(x)
, 
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,f,d:Top.    (<d,  f>(x)  \msim{}  f  x)
Date html generated:
2018_05_21-PM-09_17_51
Last ObjectModification:
2018_02_09-AM-10_16_45
Theory : finite!partial!functions
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