Step
*
of Lemma
subtype-fpf-cap5
∀[X:Type]. ∀[eq:EqDecider(X)]. ∀[f,g:x:X fp-> Type]. ∀[x:X]. f(x)?Void ⊆r g(x)?Top supposing f || g
BY
{ xxx(((Auto THEN D 0 THEN Auto THEN (All (Unfold `fpf-cap`)) THEN (MoveToConcl (-1)) THEN SplitOnConclITE) THENA Auto)
THEN SplitOnConclITE
THEN Auto
THEN DoSubsume
THEN Auto
THEN SubtypeRelEq)xxx }
Latex:
Latex:
\mforall{}[X:Type]. \mforall{}[eq:EqDecider(X)]. \mforall{}[f,g:x:X fp-> Type]. \mforall{}[x:X]. f(x)?Void \msubseteq{}r g(x)?Top supposing f || g
By
Latex:
xxx(((Auto
THEN D 0
THEN Auto
THEN (All (Unfold `fpf-cap`))
THEN (MoveToConcl (-1))
THEN SplitOnConclITE)
THENA Auto
)
THEN SplitOnConclITE
THEN Auto
THEN DoSubsume
THEN Auto
THEN SubtypeRelEq)xxx
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