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Step * 1 1 of Lemma I-norm-non-neg

.....assertion..... 
1. I : {I:Interval| icompact(I)} 
2. f : {x:ℝ| x ∈ I}  ⟶ ℝ
3. ∀x,y:{x:ℝ| x ∈ I} .  ((x = y) ⇒ (f[x] = f[y]))
⊢ ∃x:ℝ. (x ∈ I)
BY
{ (D 0 With ⌜left-endpoint(I)⌝  THEN EAuto 1) }

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Latex:

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Latex:
.....assertion..... 
1.  I  :  \{I:Interval|  icompact(I)\} 
2.  f  :  \{x:\mBbbR{}|  x  \mmember{}  I\}    {}\mrightarrow{}  \mBbbR{}
3.  \mforall{}x,y:\{x:\mBbbR{}|  x  \mmember{}  I\}  .    ((x  =  y)  {}\mRightarrow{}  (f[x]  =  f[y]))
\mvdash{}  \mexists{}x:\mBbbR{}.  (x  \mmember{}  I)


By

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Latex:
(D  0  With  \mkleeneopen{}left-endpoint(I)\mkleeneclose{}    THEN  EAuto  1)

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