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Step * 1 1 of Lemma rtan_functionality_wrt_rleq

.....antecedent..... 
1. ∀x:{x:ℝ| x ∈ (-(π/2), π/2)} . (r0 < rcos(x))
2. x : {x:ℝ| x ∈ (-(π/2), π/2)} 
3. y : {x:ℝ| x ∈ (-(π/2), π/2)} 
4. x ≤ y
5. ∀x:{x:ℝ| x ∈ (-(π/2), π/2)} . (r0 < rcos(x)^2)
⊢ (r1/rcos(x)^2) continuous for x ∈ (-(π/2), π/2)
BY
{ (BLemma `function-is-continuous` THEN Auto) }

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Latex:

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Latex:
.....antecedent..... 
1.  \mforall{}x:\{x:\mBbbR{}|  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)\}  .  (r0  <  rcos(x))
2.  x  :  \{x:\mBbbR{}|  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)\} 
3.  y  :  \{x:\mBbbR{}|  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)\} 
4.  x  \mleq{}  y
5.  \mforall{}x:\{x:\mBbbR{}|  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)\}  .  (r0  <  rcos(x)\^{}2)
\mvdash{}  (r1/rcos(x)\^{}2)  continuous  for  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)


By

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Latex:
(BLemma  `function-is-continuous`  THEN  Auto)

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