Nuprl Lemma : arrow_pair_lemma
∀y,x:Top.  (arrow(<x, y>) ~ y)
Proof
Definitions occuring in Statement : 
functor-arrow: arrow(F)
, 
top: Top
, 
all: ∀x:A. B[x]
, 
pair: <a, b>
, 
sqequal: s ~ t
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
functor-arrow: arrow(F)
, 
pi2: snd(t)
Lemmas referenced : 
top_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
lambdaFormation, 
cut, 
hypothesis, 
introduction, 
extract_by_obid, 
sqequalRule
Latex:
\mforall{}y,x:Top.    (arrow(<x,  y>)  \msim{}  y)
Date html generated:
2020_05_20-AM-07_50_57
Last ObjectModification:
2017_01_13-PM-01_21_16
Theory : small!categories
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