Nuprl Lemma : equal-top
∀[x,y:Top].  (x = y ∈ Top)
Proof
Definitions occuring in Statement : 
uall: ∀[x:A]. B[x]
, 
top: Top
, 
equal: s = t ∈ T
Definitions unfolded in proof : 
top: Top
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation, 
introduction, 
cut, 
isect_memberEquality, 
voidElimination, 
voidEquality, 
hypothesis, 
isectEquality, 
sqequalRule, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
hypothesisEquality, 
axiomEquality, 
because_Cache
Latex:
\mforall{}[x,y:Top].    (x  =  y)
Date html generated:
2016_05_13-PM-03_16_09
Last ObjectModification:
2016_01_06-PM-05_20_56
Theory : core_2
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