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Step * of Lemma qreal-function

∀[f:ℝ ⟶ ℝ ⟶ ℝ]. f ∈ [ℝ] ⟶ [ℝ] ⟶ [ℝ] supposing ∀a1,a2,b1,b2:ℝ.  ((a1 = a2) ⇒ (b1 = b2) ⇒ (f[a1;b1] = f[a2;b2]))
BY
{ (Auto THEN RepeatFor 2 (((FunExt THENA Auto) THEN QuotientElimForEquality (-1))) THEN EqTypeCD THEN Auto) }

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Latex:

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Latex:
\mforall{}[f:\mBbbR{}  {}\mrightarrow{}  \mBbbR{}  {}\mrightarrow{}  \mBbbR{}]
    f  \mmember{}  [\mBbbR{}]  {}\mrightarrow{}  [\mBbbR{}]  {}\mrightarrow{}  [\mBbbR{}]  supposing  \mforall{}a1,a2,b1,b2:\mBbbR{}.    ((a1  =  a2)  {}\mRightarrow{}  (b1  =  b2)  {}\mRightarrow{}  (f[a1;b1]  =  f[a2;b2]))


By

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Latex:
(Auto
  THEN  RepeatFor  2  (((FunExt  THENA  Auto)  THEN  QuotientElimForEquality  (-1)))
  THEN  EqTypeCD
  THEN  Auto)

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