---

Step * of Lemma rec-combined-loc-class2_wf

∀[Info,A,B,C:Type]. ∀[F:Id ⟶ bag(A) ⟶ bag(B) ⟶ bag(C) ⟶ bag(C)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
  (l,x,y,s.F[l;x;y;s]|Loc,X,Y,Prior(self)| ∈ EClass(C))
BY
{ (Auto
   THEN Unfold `rec-combined-loc-class2` 0
   THEN (InstLemma `rec-combined-loc-class_wf` [⌜Info⌝; ⌜2⌝; ⌜λn.[A; B][n]⌝]⋅ THENA Auto')
   THEN BHyp (-1) 
   THEN Reduce 0
   THEN Try ((MemCD THEN Try ((IntSegCases (-1) THEN Reduce 0 THEN Auto))))
   THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[Info,A,B,C:Type].  \mforall{}[F:Id  {}\mrightarrow{}  bag(A)  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(C)  {}\mrightarrow{}  bag(C)].  \mforall{}[X:EClass(A)].  \mforall{}[Y:EClass(B)].
    (l,x,y,s.F[l;x;y;s]|Loc,X,Y,Prior(self)|  \mmember{}  EClass(C))


By

---

Latex:
(Auto
  THEN  Unfold  `rec-combined-loc-class2`  0
  THEN  (InstLemma  `rec-combined-loc-class\_wf`  [\mkleeneopen{}Info\mkleeneclose{};  \mkleeneopen{}2\mkleeneclose{};  \mkleeneopen{}\mlambda{}n.[A;  B][n]\mkleeneclose{}]\mcdot{}  THENA  Auto')
  THEN  BHyp  (-1) 
  THEN  Reduce  0
  THEN  Try  ((MemCD  THEN  Try  ((IntSegCases  (-1)  THEN  Reduce  0  THEN  Auto))))
  THEN  Auto)

---

Home Index