---

Step * of Lemma state-class1-exists

∀[Info,A,B:Type]. ∀[init:Id ─→ B]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)].
  ∀es:EO+(Info). ∀e:E.  (↓∃v:B. v ∈ state-class1(init;f;X)(e))
BY
{ (Auto
   THEN (InstLemma `State1-loc-exists` [⌈Info⌉;⌈A⌉;⌈B⌉;⌈init⌉;⌈f⌉;⌈X⌉;⌈es⌉;⌈e⌉]⋅ THENA Auto)
   THEN SquashExRepD
   THEN D 0
   THEN InstConcl [⌈v⌉]⋅
   THEN Auto
   THEN BLemma `state-class1-state1-classrel`
   THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[init:Id  {}\mrightarrow{}  B].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].
    \mforall{}es:EO+(Info).  \mforall{}e:E.    (\mdownarrow{}\mexists{}v:B.  v  \mmember{}  state-class1(init;f;X)(e))


By

---

Latex:
(Auto
  THEN  (InstLemma  `State1-loc-exists`  [\mkleeneopen{}Info\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}B\mkleeneclose{};\mkleeneopen{}init\mkleeneclose{};\mkleeneopen{}f\mkleeneclose{};\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}es\mkleeneclose{};\mkleeneopen{}e\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  SquashExRepD
  THEN  D  0
  THEN  InstConcl  [\mkleeneopen{}v\mkleeneclose{}]\mcdot{}
  THEN  Auto
  THEN  BLemma  `state-class1-state1-classrel`
  THEN  Auto)

---

Home Index