Step
*
1
1
2
of Lemma
rsin-positive-near-11/7
1. x : {x:ℝ| x ∈ ((r(41)/r(70)), (r(179)/r(70)))}
2. |rsin(x) - rsin((r(110)/r(70)))| ≤ |x - (r(110)/r(70))|
3. |x - (r(110)/r(70))| ≤ (r(69)/r(70))
⊢ r0 < rsin(x)
BY
{ ((RWO "-1" (-2) THENA Auto) THEN Thin (-1)) }
1
1. x : {x:ℝ| x ∈ ((r(41)/r(70)), (r(179)/r(70)))}
2. |rsin(x) - rsin((r(110)/r(70)))| ≤ (r(69)/r(70))
⊢ r0 < rsin(x)
Latex:
Latex:
1. x : \{x:\mBbbR{}| x \mmember{} ((r(41)/r(70)), (r(179)/r(70)))\}
2. |rsin(x) - rsin((r(110)/r(70)))| \mleq{} |x - (r(110)/r(70))|
3. |x - (r(110)/r(70))| \mleq{} (r(69)/r(70))
\mvdash{} r0 < rsin(x)
By
Latex:
((RWO "-1" (-2) THENA Auto) THEN Thin (-1))
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