---

Step * of Lemma rec-combined-class-3_wf

∀[Info,A,B,C,D:Type]. ∀[F:bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(D) ─→ bag(D)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
∀[Z:EClass(C)].
  (rec-combined-class-3(F;X;Y;Z) ∈ EClass(D))
BY
{ (ProveWfLemma
   THEN (InstLemma `rec-combined-class_wf` [⌈Info⌉; ⌈3⌉; ⌈λn.[A; B; C][n]⌉]⋅ THENA Auto')
   THEN BHyp (-1) 
   THEN Reduce 0
   THEN Try (Complete (Auto'))
   THEN (MemCD THENA Auto)
   THEN IntSegCases (-1)
   THEN Reduce 0
   THEN Trivial)⋅ }

---

Latex:

---

Latex:
\mforall{}[Info,A,B,C,D:Type].  \mforall{}[F:bag(A)  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(C)  {}\mrightarrow{}  bag(D)  {}\mrightarrow{}  bag(D)].  \mforall{}[X:EClass(A)].
\mforall{}[Y:EClass(B)].  \mforall{}[Z:EClass(C)].
    (rec-combined-class-3(F;X;Y;Z)  \mmember{}  EClass(D))


By

---

Latex:
(ProveWfLemma
  THEN  (InstLemma  `rec-combined-class\_wf`  [\mkleeneopen{}Info\mkleeneclose{};  \mkleeneopen{}3\mkleeneclose{};  \mkleeneopen{}\mlambda{}n.[A;  B;  C][n]\mkleeneclose{}]\mcdot{}  THENA  Auto')
  THEN  BHyp  (-1) 
  THEN  Reduce  0
  THEN  Try  (Complete  (Auto'))
  THEN  (MemCD  THENA  Auto)
  THEN  IntSegCases  (-1)
  THEN  Reduce  0
  THEN  Trivial)\mcdot{}

---

Home Index