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Step * of Lemma omral_plus_sd_ordered

∀g:OCMon. ∀r:CDRng. ∀ps,qs:(|g| × |r|) List.
  ((↑sd_ordered(map(λx.(fst(x));ps))) ⇒ (↑sd_ordered(map(λx.(fst(x));qs))) ⇒ (↑sd_ordered(map(λx.(fst(x));ps ++ qs))))
BY
{ (ProveSpecializedLemma `oal_merge_sd_ordered` 2 [parm{i};g↓oset;r↓+gp
   ...
   THEN BLemma `cdrng_is_abdmonoid`
   THEN Auto) }

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Latex:

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Latex:
\mforall{}g:OCMon.  \mforall{}r:CDRng.  \mforall{}ps,qs:(|g|  \mtimes{}  |r|)  List.
    ((\muparrow{}sd\_ordered(map(\mlambda{}x.(fst(x));ps)))
    {}\mRightarrow{}  (\muparrow{}sd\_ordered(map(\mlambda{}x.(fst(x));qs)))
    {}\mRightarrow{}  (\muparrow{}sd\_ordered(map(\mlambda{}x.(fst(x));ps  ++  qs))))


By

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Latex:
(ProveSpecializedLemma  `oal\_merge\_sd\_ordered`  2  [parm\{i\};g\mdownarrow{}oset;r\mdownarrow{}+gp
  ...
  THEN  BLemma  `cdrng\_is\_abdmonoid`
  THEN  Auto)

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