Nuprl Definition : real-disjoint

real-disjoint(x.A[x];y.B[y]) ==  ∀x,y:ℝ.  ((x = y) ⇒ (¬(A[x] ∧ B[y])))



Definitions occuring in Statement :  req: x = y,  real: ℝ,  all: ∀x:A. B[x],  not: ¬A,  implies: P ⇒ Q,  and: P ∧ Q
Definitions occuring in definition :  all: ∀x:A. B[x],  real: ℝ,  implies: P ⇒ Q,  req: x = y,  not: ¬A,  and: P ∧ Q
FDL editor aliases :  real-disjoint

Latex:
real-disjoint(x.A[x];y.B[y])  ==    \mforall{}x,y:\mBbbR{}.    ((x  =  y)  {}\mRightarrow{}  (\mneg{}(A[x]  \mwedge{}  B[y])))



Date html generated: 2017_10_03-AM-10_00_24
Last ObjectModification: 2017_06_30-AM-10_49_01

Theory : reals


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