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Step * of Lemma has-value-extensionality

∀[a,b:Base].  (a)↓ = (b)↓ ∈ ℙ supposing (a)↓ ⇐⇒ (b)↓
BY
{ (Auto THEN RepUR ``has-value prop`` 0 THEN Refine_sqleExtensionalEquality THEN Fold `has-value` 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[a,b:Base].    (a)\mdownarrow{}  =  (b)\mdownarrow{}  supposing  (a)\mdownarrow{}  \mLeftarrow{}{}\mRightarrow{}  (b)\mdownarrow{}


By

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Latex:
(Auto
  THEN  RepUR  ``has-value  prop``  0
  THEN  Refine\_sqleExtensionalEquality
  THEN  Fold  `has-value`  0
  THEN  Auto)

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