Step
*
of Lemma
total-function-rational-approx
∀f:ℝ ⟶ ℝ. ∀y:ℝ. ((∀x,y:ℝ. ((x = y)
⇒ (f[x] = f[y])))
⇒ lim n→∞.f[(y within 1/n + 1)] = f[y])
BY
{ (InstLemma `total-function-limit` [] THEN RepeatFor 2 (ParallelLast') THEN Auto) }
Latex:
Latex:
\mforall{}f:\mBbbR{} {}\mrightarrow{} \mBbbR{}. \mforall{}y:\mBbbR{}. ((\mforall{}x,y:\mBbbR{}. ((x = y) {}\mRightarrow{} (f[x] = f[y]))) {}\mRightarrow{} lim n\mrightarrow{}\minfty{}.f[(y within 1/n + 1)] = f[y])
By
Latex:
(InstLemma `total-function-limit` [] THEN RepeatFor 2 (ParallelLast') THEN Auto)
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