Step
*
2
1
of Lemma
es-interface-union-left
1. Info : Type
2. A : Type
3. X : EClass(A)
4. Y : EClass(Top)
5. Singlevalued(X)
6. x : EO+(Info)
7. x1 : E
8. ¬↑x1 ∈b X
9. ↑x1 ∈b Y
⊢ {} = (X x x1) ∈ bag(A)
BY
{ (((InstLemma `sv-class-iff` [⌈Info⌉;⌈λ2es e.A⌉;⌈X⌉]⋅ THENM ThinTrivial) THENA Auto)
THEN RWO "-1" 0
THEN Auto
THEN AutoSplit
THEN D (-5)
THEN Unfold `in-eclass` 0
THEN Auto)⋅ }
Latex:
Latex:
1. Info : Type
2. A : Type
3. X : EClass(A)
4. Y : EClass(Top)
5. Singlevalued(X)
6. x : EO+(Info)
7. x1 : E
8. \mneg{}\muparrow{}x1 \mmember{}\msubb{} X
9. \muparrow{}x1 \mmember{}\msubb{} Y
\mvdash{} \{\} = (X x x1)
By
Latex:
(((InstLemma `sv-class-iff` [\mkleeneopen{}Info\mkleeneclose{};\mkleeneopen{}\mlambda{}\msubtwo{}es e.A\mkleeneclose{};\mkleeneopen{}X\mkleeneclose{}]\mcdot{} THENM ThinTrivial) THENA Auto)
THEN RWO "-1" 0
THEN Auto
THEN AutoSplit
THEN D (-5)
THEN Unfold `in-eclass` 0
THEN Auto)\mcdot{}
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