Step * of Lemma rtan_functionality_wrt_rless

x,y:{x:ℝx ∈ (-(π/2), π/2)} .  rtan(x) < rtan(y) supposing x < y
BY
(InstLemma `rcos-positive` [] THEN Auto) }

1
1. ∀x:{x:ℝx ∈ (-(π/2), π/2)} (r0 < rcos(x))
2. {x:ℝx ∈ (-(π/2), π/2)} 
3. {x:ℝx ∈ (-(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)  <  rtan(y)  supposing  x  <  y


By


Latex:
(InstLemma  `rcos-positive`  []  THEN  Auto)




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