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Step * of Lemma decide-axiom-if-has-value

∀t:Base. ((t)↓ ⇒ Dec(t ~ Ax))
BY
{ (Auto THEN UseWitness ⌜if t = Ax then inl Ax otherwise inr (λx.Ax) ⌝⋅ THEN CanonicalAuto) }

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Latex:

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Latex:
\mforall{}t:Base.  ((t)\mdownarrow{}  {}\mRightarrow{}  Dec(t  \msim{}  Ax))


By

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Latex:
(Auto  THEN  UseWitness  \mkleeneopen{}if  t  =  Ax  then  inl  Ax  otherwise  inr  (\mlambda{}x.Ax)  \mkleeneclose{}\mcdot{}  THEN  CanonicalAuto)

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