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Step * 1 of Lemma rmul_reverses_rless_iff


1. x : ℝ
2. y : ℝ
3. z : ℝ
4. y < r0
5. x < z
⊢ (z * y) < (x * y)
BY
{ (InstLemma `rmul_reverses_rless` [⌜x⌝;⌜y⌝;⌜z⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  x  :  \mBbbR{}
2.  y  :  \mBbbR{}
3.  z  :  \mBbbR{}
4.  y  <  r0
5.  x  <  z
\mvdash{}  (z  *  y)  <  (x  *  y)


By

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Latex:
(InstLemma  `rmul\_reverses\_rless`  [\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}z\mkleeneclose{}]\mcdot{}  THEN  Auto)

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