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Step * 2 1 of Lemma rsin-nonneg


1. x : {x:ℝ| x ∈ [r0, π]} 
2. r0 ≤ rcos(x - π/2)
3. x = ((x - π/2) + π/2)
⊢ r0 ≤ rsin((x - π/2) + π/2)
BY
{ (RWO "rsin-shift-half-pi" 0 THEN Auto) }

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Latex:

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Latex:

1.  x  :  \{x:\mBbbR{}|  x  \mmember{}  [r0,  \mpi{}]\} 
2.  r0  \mleq{}  rcos(x  -  \mpi{}/2)
3.  x  =  ((x  -  \mpi{}/2)  +  \mpi{}/2)
\mvdash{}  r0  \mleq{}  rsin((x  -  \mpi{}/2)  +  \mpi{}/2)


By

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Latex:
(RWO  "rsin-shift-half-pi"  0  THEN  Auto)

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