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Step * of Lemma eclass1_local

∀[Info,B,C:Type]. ∀[X:EClass(B)].  ∀f:Id ─→ B ─→ C. (LocalClass(X) ⇒ LocalClass((f o X))) supposing valueall-type(C)
BY
{ (Auto THEN RenameVar `pr' (-1) THEN UseWitness ⌈eclass1-program(f;pr)⌉⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}[Info,B,C:Type].  \mforall{}[X:EClass(B)].
    \mforall{}f:Id  {}\mrightarrow{}  B  {}\mrightarrow{}  C.  (LocalClass(X)  {}\mRightarrow{}  LocalClass((f  o  X)))  supposing  valueall-type(C)


By

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Latex:
(Auto  THEN  RenameVar  `pr'  (-1)  THEN  UseWitness  \mkleeneopen{}eclass1-program(f;pr)\mkleeneclose{}\mcdot{}  THEN  Auto)

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