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Step * 1 of Lemma es-interface-conditional-predicate-equivalent


∀[Info:Type]. ∀es:EO+(Info). ∀[A:Type]. ∀X,Y:EClass(A). ∀x:E.  (↑x ∈b [X?Y] ⇐⇒ (↑x ∈b X) ∨ (↑x ∈b Y))
BY
{ (InstLemma `es-interface-conditional-domain-iff` [] THEN Auto) }

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Latex:



\mforall{}[Info:Type]
    \mforall{}es:EO+(Info).  \mforall{}[A:Type].  \mforall{}X,Y:EClass(A).  \mforall{}x:E.    (\muparrow{}x  \mmember{}\msubb{}  [X?Y]  \mLeftarrow{}{}\mRightarrow{}  (\muparrow{}x  \mmember{}\msubb{}  X)  \mvee{}  (\muparrow{}x  \mmember{}\msubb{}  Y))


By

(InstLemma  `es-interface-conditional-domain-iff`  []  THEN  Auto)

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