Step
*
1
2
1
of Lemma
classrel-classfun-res-alt1
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)
9. x : Unit@i
⊢ ↑e ∈b X
BY
{ (InstLemma `classrel-implies-member` [⌈Info⌉;⌈T⌉;⌈X⌉;⌈es⌉;⌈e⌉;⌈v⌉]⋅ THEN Auto) }
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)
9. x : Unit@i
\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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