Step
*
of Lemma
fpf-cap-single
∀[A:Type]. ∀[eq:EqDecider(A)]. ∀[x,y:A]. ∀[v,z:Top]. (x : v(y)?z ~ if eq x y then v else z fi )
BY
{ ((UnivCD THENA Auto) THEN Repeat (Unfolds ``fpf-cap fpf-single fpf-ap fpf-dom`` 0) THEN Reduce 0 THEN AutoSplit) }
Latex:
Latex:
\mforall{}[A:Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[x,y:A]. \mforall{}[v,z:Top]. (x : v(y)?z \msim{} if eq x y then v else z fi )
By
Latex:
((UnivCD THENA Auto)
THEN Repeat (Unfolds ``fpf-cap fpf-single fpf-ap fpf-dom`` 0)
THEN Reduce 0
THEN AutoSplit)
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