Step * of Lemma state-class1-state1-classrel

[Info,B,A:Type]. ∀[f:Id ⟶ A ⟶ B ⟶ B]. ∀[init:Id ⟶ B]. ∀[X:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:B].
  uiff(v ∈ State1(init;f;X)(e);v ∈ state-class1(init;f;X)(e))
BY
((UnivCD THENA Auto) THEN RWO "State1-state-class1" THEN Auto) }


Latex:


Latex:
\mforall{}[Info,B,A:Type].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[init:Id  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].
\mforall{}[v:B].
    uiff(v  \mmember{}  State1(init;f;X)(e);v  \mmember{}  state-class1(init;f;X)(e))


By


Latex:
((UnivCD  THENA  Auto)  THEN  RWO  "State1-state-class1"  0  THEN  Auto)




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