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Step * 1 1 1 1 1 1 of Lemma rsin-pi-over-4

.....wf..... 
1. r0 = (rcos((π/r(4)))^2 - rsin((π/r(4)))^2)
2. rcos((π/r(4)) + (π/r(4))) = rcos(π/2)
3. (rsin((π/r(4)))^2 + rsin((π/r(4)))^2) = r1
4. rcos((π/r(4)))^2 = rsin((π/r(4)))^2
⊢ rsin((π/r(4))) ∈ {x:ℝ| r0 ≤ x} 
BY
{ (Assert r0 < rsin((π/r(4))) BY
         (UseWitness ⌜10⌝⋅ THEN MemTypeCD THEN Auto THEN ByComputation 10000 THEN Auto)) }

1
1. r0 = (rcos((π/r(4)))^2 - rsin((π/r(4)))^2)
2. rcos((π/r(4)) + (π/r(4))) = rcos(π/2)
3. (rsin((π/r(4)))^2 + rsin((π/r(4)))^2) = r1
4. rcos((π/r(4)))^2 = rsin((π/r(4)))^2
5. r0 < rsin((π/r(4)))
⊢ rsin((π/r(4))) ∈ {x:ℝ| r0 ≤ x} 

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Latex:

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Latex:
.....wf..... 
1.  r0  =  (rcos((\mpi{}/r(4)))\^{}2  -  rsin((\mpi{}/r(4)))\^{}2)
2.  rcos((\mpi{}/r(4))  +  (\mpi{}/r(4)))  =  rcos(\mpi{}/2)
3.  (rsin((\mpi{}/r(4)))\^{}2  +  rsin((\mpi{}/r(4)))\^{}2)  =  r1
4.  rcos((\mpi{}/r(4)))\^{}2  =  rsin((\mpi{}/r(4)))\^{}2
\mvdash{}  rsin((\mpi{}/r(4)))  \mmember{}  \{x:\mBbbR{}|  r0  \mleq{}  x\} 


By

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Latex:
(Assert  r0  <  rsin((\mpi{}/r(4)))  BY
              (UseWitness  \mkleeneopen{}10\mkleeneclose{}\mcdot{}  THEN  MemTypeCD  THEN  Auto  THEN  ByComputation  10000  THEN  Auto))

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