Nuprl Definition : ss-open-and
A ⋂ B ==  λz.∃u,v:ss-basic(X). ((A u) ∧ (B v) ∧ (z = ss-basic-and(u;v) ∈ ss-basic(X)))
Definitions occuring in Statement : 
ss-basic-and: ss-basic-and(u;v)
, 
ss-basic: ss-basic(X)
, 
exists: ∃x:A. B[x]
, 
and: P ∧ Q
, 
apply: f a
, 
lambda: λx.A[x]
, 
equal: s = t ∈ T
Definitions occuring in definition : 
lambda: λx.A[x]
, 
exists: ∃x:A. B[x]
, 
and: P ∧ Q
, 
apply: f a
, 
equal: s = t ∈ T
, 
ss-basic: ss-basic(X)
, 
ss-basic-and: ss-basic-and(u;v)
FDL editor aliases : 
ss-open-and
Latex:
A  \mcap{}  B  ==    \mlambda{}z.\mexists{}u,v:ss-basic(X).  ((A  u)  \mwedge{}  (B  v)  \mwedge{}  (z  =  ss-basic-and(u;v)))
Date html generated:
2020_05_20-PM-01_22_33
Last ObjectModification:
2018_07_06-PM-04_49_06
Theory : intuitionistic!topology
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