Step
*
of Lemma
ravg-between
∀x,y:ℝ. ((x < y)
⇒ ((x < ravg(x;y)) ∧ (ravg(x;y) < y)))
BY
{ (Auto THEN Unfold `ravg` 0 THEN nRMul ⌜r(2)⌝ 0⋅ THEN Auto) }
Latex:
Latex:
\mforall{}x,y:\mBbbR{}. ((x < y) {}\mRightarrow{} ((x < ravg(x;y)) \mwedge{} (ravg(x;y) < y)))
By
Latex:
(Auto THEN Unfold `ravg` 0 THEN nRMul \mkleeneopen{}r(2)\mkleeneclose{} 0\mcdot{} THEN Auto)
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