Step
*
1
of Lemma
cons_in_oalist
1. a : LOSet
2. b : AbDMon
3. ws : |oal(a;b)|
4. x : |a|
5. y : |b|
6. ↑before(x;map(λx.(fst(x));ws))
7. ¬(y = e ∈ |b|)
⊢ [<x, y> / ws] ∈ |oal(a;b)|
BY
{ ((D 3 THENM AbReduce 0 THENM MemTypeCD THEN AbReduce 0) THEN Auto⋅ THEN RW assert_pushdownC 0 THEN Auto) }
Latex:
Latex:
1. a : LOSet
2. b : AbDMon
3. ws : |oal(a;b)|
4. x : |a|
5. y : |b|
6. \muparrow{}before(x;map(\mlambda{}x.(fst(x));ws))
7. \mneg{}(y = e)
\mvdash{} [<x, y> / ws] \mmember{} |oal(a;b)|
By
Latex:
((D 3
THENM AbReduce 0
THENM MemTypeCD
THEN AbReduce 0) THEN Auto\mcdot{}
THEN RW assert\_pushdownC 0
THEN Auto)
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