Nuprl Definition : maximal-sub-bag
maximal-sub-bag(T;m;b;s.P[s]) ==  (∀s:bag(T). (sub-bag(T;s;b) ⇒ P[s] ⇒ sub-bag(T;s;m))) ∧ P[m]
Definitions occuring in Statement : 
sub-bag: sub-bag(T;as;bs), 
bag: bag(T), 
all: ∀x:A. B[x], 
implies: P ⇒ Q, 
and: P ∧ Q
Definitions occuring in definition : 
and: P ∧ Q, 
all: ∀x:A. B[x], 
bag: bag(T), 
implies: P ⇒ Q, 
sub-bag: sub-bag(T;as;bs)
FDL editor aliases : 
maximal-sub-bag
Latex:
maximal-sub-bag(T;m;b;s.P[s])  ==    (\mforall{}s:bag(T).  (sub-bag(T;s;b)  {}\mRightarrow{}  P[s]  {}\mRightarrow{}  sub-bag(T;s;m)))  \mwedge{}  P[m]
Date html generated:
2018_05_21-PM-06_24_32
Last ObjectModification:
2018_01_08-AM-00_32_08
Theory : bags
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