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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