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Step * of Lemma set-mono

∀A:Type. ∀P:A ⟶ ℙ.  (mono(A) ⇒ mono({a:A| P[a]} ))
BY
{ (Auto THEN Using [`B',⌜A⌝] (BLemma `subtype-mono`)⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}A:Type.  \mforall{}P:A  {}\mrightarrow{}  \mBbbP{}.    (mono(A)  {}\mRightarrow{}  mono(\{a:A|  P[a]\}  ))


By

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Latex:
(Auto  THEN  Using  [`B',\mkleeneopen{}A\mkleeneclose{}]  (BLemma  `subtype-mono`)\mcdot{}  THEN  Auto)

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