Step * of Lemma rcos-nonneg

x:{x:ℝx ∈ [-(π/2), π/2]} (r0 ≤ rcos(x))
BY
(Auto THEN (InstLemma `rless-cases` [⌜r0⌝;⌜(r1/r(1000))⌝;⌜x⌝]⋅ THENA Auto) THEN -1) }

1
1. {x:ℝx ∈ [-(π/2), π/2]} 
2. r0 < x
⊢ r0 ≤ rcos(x)

2
1. {x:ℝx ∈ [-(π/2), π/2]} 
2. x < (r1/r(1000))
⊢ r0 ≤ rcos(x)


Latex:


Latex:
\mforall{}x:\{x:\mBbbR{}|  x  \mmember{}  [-(\mpi{}/2),  \mpi{}/2]\}  .  (r0  \mleq{}  rcos(x))


By


Latex:
(Auto  THEN  (InstLemma  `rless-cases`  [\mkleeneopen{}r0\mkleeneclose{};\mkleeneopen{}(r1/r(1000))\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THENA  Auto)  THEN  D  -1)




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