Nuprl Definition : compatible-rat-cubes
Compatible(c;d) ==  (↑Inhabited(c ⋂ d)) 
⇒ (c ⋂ d ≤ c ∧ c ⋂ d ≤ d)
Definitions occuring in Statement : 
inhabited-rat-cube: Inhabited(c)
, 
rat-cube-intersection: c ⋂ d
, 
rat-cube-face: c ≤ d
, 
assert: ↑b
, 
implies: P 
⇒ Q
, 
and: P ∧ Q
Definitions occuring in definition : 
rat-cube-intersection: c ⋂ d
, 
rat-cube-face: c ≤ d
, 
and: P ∧ Q
, 
inhabited-rat-cube: Inhabited(c)
, 
assert: ↑b
, 
implies: P 
⇒ Q
FDL editor aliases : 
compat-rc
compat-rc
Latex:
Compatible(c;d)  ==    (\muparrow{}Inhabited(c  \mcap{}  d))  {}\mRightarrow{}  (c  \mcap{}  d  \mleq{}  c  \mwedge{}  c  \mcap{}  d  \mleq{}  d)
Date html generated:
2019_10_29-AM-07_54_02
Last ObjectModification:
2019_10_17-PM-04_47_13
Theory : rationals
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