Step
*
of Lemma
rtan_functionality_wrt_rleq
∀[x,y:{x:ℝ| x ∈ (-(π/2), π/2)} ].  rtan(x) ≤ rtan(y) supposing x ≤ y
BY
{ (InstLemma `rcos-positive` [] THEN Auto) }
1
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
⊢ rtan(x) ≤ rtan(y)
Latex:
Latex:
\mforall{}[x,y:\{x:\mBbbR{}|  x  \mmember{}  (-(\mpi{}/2),  \mpi{}/2)\}  ].    rtan(x)  \mleq{}  rtan(y)  supposing  x  \mleq{}  y
By
Latex:
(InstLemma  `rcos-positive`  []  THEN  Auto)
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