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Step * 1 1 of Lemma rsin-nonneg


1. x : ℝ
2. x ∈ [r0, π]
3. -(π/2) ≤ (x - π/2)
⊢ x ≤ (r(2) * π/2)
BY
{ (Reduce 2 THEN Unfold `pi` 2 THEN RWO "int-rmul-req" 2 THEN Auto) }

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Latex:

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Latex:

1.  x  :  \mBbbR{}
2.  x  \mmember{}  [r0,  \mpi{}]
3.  -(\mpi{}/2)  \mleq{}  (x  -  \mpi{}/2)
\mvdash{}  x  \mleq{}  (r(2)  *  \mpi{}/2)


By

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Latex:
(Reduce  2  THEN  Unfold  `pi`  2  THEN  RWO  "int-rmul-req"  2  THEN  Auto)

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