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Step * of Lemma rless-cases-sq

∀x:ℝ. ∀y:{y:ℝ| x < y} . ∀z:ℝ.  ((x < z) ∨ (z < y))
BY
{ (Auto THEN (BLemma `rless-cases` THENW Auto) THEN UseWitness ⌜rlessw(x;y)⌝⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}x:\mBbbR{}.  \mforall{}y:\{y:\mBbbR{}|  x  <  y\}  .  \mforall{}z:\mBbbR{}.    ((x  <  z)  \mvee{}  (z  <  y))


By

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Latex:
(Auto  THEN  (BLemma  `rless-cases`  THENW  Auto)  THEN  UseWitness  \mkleeneopen{}rlessw(x;y)\mkleeneclose{}\mcdot{}  THEN  Auto)

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