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Step * 1 1 of Lemma iproper-nonvoid


1. x : ℝ
2. x2 : ℝ
3. (True ∧ True) ⇒ (x < x2)
⊢ ∃r:ℝ. ((x ≤ r) ∧ (r ≤ x2))
BY
{ (InstLemma `ravg-between` [⌜x⌝;⌜x2⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  x  :  \mBbbR{}
2.  x2  :  \mBbbR{}
3.  (True  \mwedge{}  True)  {}\mRightarrow{}  (x  <  x2)
\mvdash{}  \mexists{}r:\mBbbR{}.  ((x  \mleq{}  r)  \mwedge{}  (r  \mleq{}  x2))


By

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Latex:
(InstLemma  `ravg-between`  [\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}x2\mkleeneclose{}]\mcdot{}  THEN  Auto)

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