Step
*
of Lemma
add-cut-conditions_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[c:Cut(X;f)]. ∀[e:E(X)].
  (add-cut-conditions(c;e) ∈ ℙ)
BY
{ (Auto THEN Unfold `add-cut-conditions` 0 THEN Auto THEN (FLemma `es-prior-interface-val` [-2] THEN Auto)⋅) }
Latex:
Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(Top)].  \mforall{}[f:sys-antecedent(es;X)].  \mforall{}[c:Cut(X;f)].
\mforall{}[e:E(X)].
    (add-cut-conditions(c;e)  \mmember{}  \mBbbP{})
By
Latex:
(Auto
  THEN  Unfold  `add-cut-conditions`  0
  THEN  Auto
  THEN  (FLemma  `es-prior-interface-val`  [-2]  THEN  Auto)\mcdot{})
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