Step * of Lemma es-open-interval-ordered-inst

es:EO. ∀e1,e2:E. ∀n1,n2:ℕ||(e1, e2)||.  (n1 < n2  ((e1, e2)[n1] <loc (e1, e2)[n2]))
BY
(Auto
   THEN (InstLemma `es-open-interval-ordered` [⌜es⌝;⌜e1⌝;⌜e2⌝]⋅ THENA Auto)
   THEN Unfold `l-ordered` (-1)
   THEN (InstHyp [⌜(e1, e2)[n1]⌝;⌜(e1, e2)[n2]⌝(-1)⋅ THENM Auto)
   THEN Auto
   THEN BLemma `l_before_select`
   THEN Auto) }


Latex:


Latex:
\mforall{}es:EO.  \mforall{}e1,e2:E.  \mforall{}n1,n2:\mBbbN{}||(e1,  e2)||.    (n1  <  n2  {}\mRightarrow{}  ((e1,  e2)[n1]  <loc  (e1,  e2)[n2]))


By


Latex:
(Auto
  THEN  (InstLemma  `es-open-interval-ordered`  [\mkleeneopen{}es\mkleeneclose{};\mkleeneopen{}e1\mkleeneclose{};\mkleeneopen{}e2\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  Unfold  `l-ordered`  (-1)
  THEN  (InstHyp  [\mkleeneopen{}(e1,  e2)[n1]\mkleeneclose{};\mkleeneopen{}(e1,  e2)[n2]\mkleeneclose{}]  (-1)\mcdot{}  THENM  Auto)
  THEN  Auto
  THEN  BLemma  `l\_before\_select`
  THEN  Auto)




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