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Step * 1 1 of Lemma classrel-classfun-res-alt2


1. Info : Type
2. T : Type
3. es : EO+(Info)
4. X : EClass(T)
5. e : E
6. v : T
7. single-valued-classrel(es;X;T)
8. v ∈ X(e)
⊢ ↑e ∈b X
BY
{ (InstLemma `classrel-implies-member` [⌈Info⌉;⌈T⌉;⌈X⌉;⌈es⌉;⌈e⌉;⌈v⌉]⋅ THEN Auto) }

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Latex:



1.  Info  :  Type
2.  T  :  Type
3.  es  :  EO+(Info)
4.  X  :  EClass(T)
5.  e  :  E
6.  v  :  T
7.  single-valued-classrel(es;X;T)
8.  v  \mmember{}  X(e)
\mvdash{}  \muparrow{}e  \mmember{}\msubb{}  X


By

(InstLemma  `classrel-implies-member`  [\mkleeneopen{}Info\mkleeneclose{};\mkleeneopen{}T\mkleeneclose{};\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}es\mkleeneclose{};\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}v\mkleeneclose{}]\mcdot{}  THEN  Auto)

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