Step
*
of Lemma
even-shorter-proof-of-termination-equality
∀[T:Type]. ∀[x,y:partial(T)].  x = y ∈ T supposing (x)↓ ∧ (x = y ∈ partial(T)) supposing value-type(T)
BY
{ (Intros THEN ChangeEquality ⌜partial(T)⌝ ⋅ THEN Auto THEN BLemma `termination` THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type].  \mforall{}[x,y:partial(T)].    x  =  y  supposing  (x)\mdownarrow{}  \mwedge{}  (x  =  y)  supposing  value-type(T)
By
Latex:
(Intros  THEN  ChangeEquality  \mkleeneopen{}partial(T)\mkleeneclose{}  \mcdot{}  THEN  Auto  THEN  BLemma  `termination`  THEN  Auto)
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